{ "metadata": { "name": "", "signature": "sha256:f4b56d16fdef036ebc658f8910e5e1b1cc06426556ba140e8e03ffffbb9e96e7" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Scientific Coding in Python: Creating a Power Spectrum from Image Data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", " (Taken from https://upload.wikimedia.org.)\n", "\n", "\n", "\n", "\n", "**Waves look cool.** But did you know that by just looking at surface waves, even when there aren't regular pulses of energy (like those above), you can figure out what's underneath?\n", "\n", "Consider the following problem: You have a sequence of images of an oscillating surface. These oscillations occur both on various timescales and lengthscales on the surface of interest. How can we decompose the complex motion of the surface in order to determine the different frequencies and wave lengths that are strongest in the object of interest?\n", "\n", "For this lesson, we will use images of the Sun, the surface of which can be thought of as a fluid that is constantly oscillating. These images have been taken every 45 seconds for approximately 4.5 hours, and we will use this time-series to attempt to uncover the frequencies of interest that are present. Once we establish how to apply these techniques to our images, we'll discuss consraints to this technique and dataset, how these techniques can be used in other situations, and where else such techniques could come in handy." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Relevant Background Vocabulary" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- **Power**: The relative strength of a signal, usually at a given frequency or range of frequencies.\n", "- **Power Spectrum**: The relative spread of power across the full range of frequencies.\n", "- **Fourier Transform**: A mathematical transformation of data given in Euclidean (regular) space to frequency space, used to identify the strongest frequencies and wavelengths of oscillation in a physical dataset. For a more complete introduction to the Fourier transform, check out [An Interactive Guide to the Fourier Transform](http://betterexplained.com/articles/an-interactive-guide-to-the-fourier-transform/).\n", "- **Wave Number `k`**: $$k = \\frac{2\\pi}{\\lambda}$$. $$\\lambda = N_x \\Delta x$$. This will make more sense once we've taken the Fourier transform of our data. \n", "- **Complex Conjugate**: Consider a complex number (with both a real and imaginary part). The complex conjugate of this number is the same number, except with the sign of the imaginary part reversed. For example, the complex conjugate of (3-6$i$) is (3+6$i$).\n", "- **Adding in Quadrature**: Square root of the sum of two squared numbers: $c = \\sqrt{a^2 + b^2}$\n", "- **Azimuthal Average**: An average over all points a certain distance from the axis of interest. In this notebook, we azimuthally average over the spatial dimensions (by adding their averages in quadrature) to allow us to represent our three dimensional (one time and two space) data in two dimensions (one time and one space).\n", "\n", "\n", "For this project, we're trying to identify the features of the power at all wave lengths (wave numbers) and frequencies by creating a power spectrum. As our data is three-dimensional, the power spectrum will also be three dimensional, and so we walk through how to present it in two dimensions in order to quickly decipher the important information." ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Python and iPython Notebook Basics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before we get started, we need to import some standard libraries which contain the necessary tools to perform this analysis. All of these Python libraries are available for download for free on the Internet. For future manipulation of astronomical image files, I suggest downloading [Ureka](http://ssb.stsci.edu/ureka/), an astronomy analysis package published by the Space Telescope Science Institute in Baltimore, Maryland. Ureka includes all of the packages use in this notebook." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np \n", "import matplotlib.pyplot as plt\n", "%matplotlib inline \n", "import scipy.io\n", "import glob\n", "import os\n", "import time\n", "from astropy.io import fits\n", "from time import localtime,strftime\n", "tstart = strftime(\"%a, %d %b %Y %H:%M:%S\", localtime())\n", "print \"Starting Time:\", tstart\n", "tstart = time.time()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Starting Time: Tue, 07 Jul 2015 05:26:57\n" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Note**: For analysis purposes, I've chosen to time how long it takes to run the n-dimensional Fourier transform. For this notebook lesson, timing is fairly uninformative because it depends on how quickly you move through the lesson, but I've left the code in place for future reference with large datasets." ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Importing Data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we need to import the relevant dataset. As this is an astronomical dataset, images have been saved as [.fits](https://en.wikipedia.org/wiki/FITS) files. Luckily, Python combined with Ureka has a built-in library to read in .fits files, and so accessing the relevant data is straightforward. We move the 3-D stack of images into a Python list, which we can then modify with the built-in library functions in Python.\n", "\n", "**I've saved these images to my GitHub account, so if you're interested in recreating this experiment, you can download this notebook file along with all of the images in the Fedop folder and run it for yourself.**" ] }, { "cell_type": "code", "collapsed": false, "input": [ "imnames = sorted(glob.glob('Fedop/*Fedop.fits'))# sort list of images. Fedop: Doppler images taken with an iron (Fe) filter.\n", "\n", "N = len(imnames)\n", "\n", "imlist = np.zeros((N,1024,1024))\n", "\n", "for i in range(N):\n", " imlist[i] = fits.open(imnames[i])[0].data # Read in data, and save as Python list.\n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "How can we be sure that we've read in the data correctly? \n", "\n", "A quick check of images by referencing array and then `plt.imshow`-ing the result lets us investigate this. This also helps us to understand which list index corresponds to which axis in the image, which will be important later in the lesson. \n", "We also make a line plot of a given pixel to illustrate its sine-curve-like nature, illustrating the measurable oscillations present." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Plotting our Data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a moment to get to know the data. First, we should make sure we have an understanding of the size and shape of our images. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.imshow(imlist[100], cmap='cubehelix') # cmap: Specify color map to make for easier visual understanding.\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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lSV9yDMp7jLGirIhPh4hDUqp47JKyIiHdaYL0pgyZxaOrjopYRtNcRoFyNh0H\nMJScCMu3HlRYaU/HMgIZDkNZAn5DHvA8G4/pnP3ROJen/xRRypVJrESAQcRixCfwFhj9yl8j/O4/\nwNgqIgFetIqIwSOkKPoM8y2y/BjfXyIpTsmzA0bFLqNsi0jKcAYB318gNG0m7gzP1AmlSjd5mwWz\nTmA73NK38PERLFd5miV7nQVZxcfnrNhioD1SYmZYoG5XyMXxJE8QaYRqgW9nmPGfIFSfTCeIlqVd\nh6OhNepa5ZJ9cfobOyIi7sgOnlOWzEUEw7yr02GWJV3gUA/w1eM6G6zpApe4SpsGz+mTZBqTScap\n9GhonXXW6TNhRVvkklPoAbekzwE5MQWXdZbf0C+yqC2+7K5yVWeoqkcgwoFmCIYIwyVtMFKhKoIR\neNdlzGjIqYwZSUZEwKfcEvfzUpa3pDUWpFyyoaKWvsQIDqOlbmMyHcI0L8KqeNxiglHLDD7zWE5I\nMeLoTbUca1phRkMuUHYnhxhSHL++kRFp69EqNGbas6TTCSF/R772GM7any7nxuNHIJAakbSpSHOa\nInMIhjDcgKXrtL/zTbzqJZL4LkY84vFNcjcmiNYR8WjaDQJ/BVeM6RVb+OEqTh2e1Cg0oVJ5koq3\nRkiN4/w2kWkTF4eAUDFzOJTT/DbPeV/GSIVWcJ0hXRIdseNuElKnITMsywpr9mlSJtzIvk5AlRxH\nIBUsPsfZe7ycfYWxJKjArFkvm+sYE4ujK0P+pPgTVB3HDGjKLJ/j0zTMDD3O2GeHroxJSAjtHFYs\ns94Vco3LcEQP8bDc4y5dGTIhp0aVW+aQHXbpyoSYDChLul/SdY5cTko53vlVXsWi3DK71DWirQ0i\nhGfpcCoTmhrwhnR52nhsUMFDeV4i9mSMAptMeIMTbpgjfs2rcEf6nJHgIyxpg02ZMKAgEccTzPGO\nJtzQmFWxOAwDCubwEFFG5OxrVl4wECaqnFLw/+iYviTcZcQYx5CCXS2b/HrSI3Fl65zHw6Q6BNN9\n/I989TGexR8952HLDyGQWnn10BQrAZ6pYCQgqF5BXAzDE8REuPQQ67XI8y6CEEVXweVYE5HkhxTF\nABUhIERUMcYDLbAm4iR9h7Q4JtcJTbuMkwJfIkDou71ygrlOaJhFCjfE2CqDfJuu2+NS+MsYDAN3\nwIl0UTdhxIAKERv+S0yKYyLTJiemq8esyRoL5jIVaXPo7pKLo9CUGbPERLtck8vMmiUyHTI2MYHU\n8KTClt7Yc1u7AAAgAElEQVRmxIQxMUZzTtjDYjlx2ySSkpOzbY6pacimOeOz8hk6MsMmOxTiaBGy\nLT08EYakLGqDHjFPS4sqlm3TpUFIihJg2DJ9elJWg7qS8hl3ESNKDWGVGboywUOoYvHEcJsJVQw5\nsEKdGh41LLcYc50Gb0qXa1ojwnJMRiITLkqFT7HCdzjlmIInqXEmKRWECIuTUstxp1BaprzSVgQS\nlApCh4BtMpbFcm9a1m0YoYbFUT6uXN5bSYAC4ZZs8QxrfNwGDZ3nPD5ifKk8muglWHxTK0OVmc9j\nipw8PUBFwcWIiSjyHqBkrkcQLNKdvErFX8WaKr5tMsoeUK89x3H8MiE1QjtDUpQrvYEiYhkXh4x1\nSOxOafiXKVyPCk2MCCe6RVdPSIsTNur/LBUNuJV9g7pWWKx+gbAoGGufujQIpMJxcY8DOWJO5hlr\nj5bM07IXGLlDNt37HEkXCyzIGglDDuSId+Q+sZ7RpENNQ8baI9eYhjTp0OaIU2pSZciEExmwwjo+\nlioRGQmIZZYqQz3jhpT5ERHLonaw0wnnT+gSh6bHrFZp02QiKcu0WNB5DuWUBzKgXmp1mdMquTgS\nYk5lQkbZqfykrhFRLqp9gxFP0+QmY3oKVVMma28z4ip13qBfTjUTj1hyOlKOPNxiwlBGzIhHTYRj\nSZjFZ1dzFmT6niDUxbBMhUiEEQV3MstLtso9JjgVnMCsWAqgEBjj8BAWiYjJqWJLabuU+ZBX2OIl\n1j9WBuRcYfoR8tDj8CQEDJ7UsCbEzL6EHZ2UqsJkD2vriPik2T7W1MoGN80p3IgyU5LjNCXXhJpd\nRcSSFV0QUC0QDLnG1MIrZPkZvfwOc9HnyItT0qLLbvE+G8HnGBZ7RFQJ7CyT4pi94n2aMktVmiiQ\n6ZiYMQdyxrLO8g53+IL5JQwee8UNVvwXyYsTtt1tLB5jiYmJWdVletLD4ZhnmdvcJSKgQsgRA1qE\nBHgsyyU8fHp6Mp3ZlZaLT2vKWBIiAkQhJCCVjISMeebKmaymyrbexVeP98whG9rGxzKrHY6mA5IN\nloSU93XCJfGx05kaHSK6jElxGAJGMmFCToeAE9JSBo/HWLKpLtRQU4/3GPIMTQyW+9KlqwUZsC4+\nm5oxK5YeOQv4VNXjZZ2wLh4tEQ7JqGPYc0pVFA9LRrnK77JYQgy3NcEXwVdDn4KaCAMnbBjDvuYs\nStlzGmE4KdPc09XsvteN+te19Bo/DpwrTD8iBDNtR69QaIpv6ni2hrv0W5j+DgAu3ccLV5HKMkl2\nUEbtblj2bZqQQmMqjU8hCv1in2b4NEHzecbFHkY89vMbgGBNqRM5ir/NIH9AQJXT5A120lfJ3JAV\ne708IlUS1+c4fZtBsUuVKjP+FUA5dPdLI0TBui4y1C5fsr/JabHJSXGXebNGXnSJ7AJDSUuVqfcr\nPMlz7MshDTrk5NznDh1qtLVGoB6L2uAiV6hquSbLidumq4eE0uGIY/Y4YiQTVnUZR0GVCrtyTEtb\nNLXODjtkpGRuSEubpORc0zlqhCyzTJUGI5KpCN4xqx3WjaWCx4YuY4FIA65xiQYhV5jH4VjVGtfd\nCmtaoy8JVQL2NWOfBNXpHA5R3pYuW9JljoAl8fh1VgjVsi4Bm5qRAkMKGgQ8YwJyKe8nCjP4XDYe\nvkBHDHWBQwdH5AwpmBePOuXs0xqGE1eupXNETl2Efc0xwCkZy5UrhFBqVVAySl3I/yLf4OHy359E\nzsOWv8RDAZhgEIGKt4wYj+wz/xzhre9ijI+KoMUYIz7d4Z/jmxq+v4iYEGMqJO6UyM4yjm/i2xbN\n4ApJtotmZzhNiN0ZLbtEpXKdON0iY0I7epbIdMp5o94KAd502YOCuDilHlxiUGzTsAulIMwu0i92\nONMD5sw6h2wx5z2BuIxI6uSUHbiRtMCrMSr2qZoZIlUiqRC7Lo6MBk0G2mNBlrlsX+TQPSCRhBMZ\nEGCpmBpbbJEQk0nKDLO8wbvkCM/rk8SScEM28TCMZcIdRoxMnwMpQ7iG6XCT+6g4RMpL26Z0eVd2\nGEjZt/NABjSpMpYRbaqcMOHE9FjWNqcy4IAe2zIgkwnr2mFHBuxIl5r4ZDje0BHPSpM2HkMcvjiO\n1DGLz7ZkWIRfdc9wX/Y4lZQ6PnPi0cTQxsfgMZaUrha8XRR81kZsaoInpfS8nNohLBtDFeGWK4hV\nGeEwaqga5UmJ6FEwVkNbDEMVeuqIRMjyLp9Z+232+7enl/bvXeDfkE1e+BiUcc9LtT8hlgArZZ7c\nSogndQDSz/4O1TdfwwQdXDGiSHaw/jxno5dpBk8QhhvE8T1sdZ0sPyDyFjhN3qLW+VWsqZFmewS1\np0iLM06K+xg8Qn+Ve8N/RGA7VO0c3fgtCo3p5vcYZg8QddMO3QoVO8/N5E9JiKl6a1TsAr5pss19\nVux1WsETXLKfZpLvMtYeSk7DXuCUYyba5Sh7D4CB22eXLQbaxcOjIKciTRZljTn/aRRlQ66yzmUa\nRLRose0eUNcas3Tw1AMRVnWG5/QSQxmwJ8fU8LigK0xImRdLU32a6pMJvM8ddmRCTasMiTllxCU3\nyy+5q1TVZ00XuK4z9GXEvanOY4YqBcoDc4JiqWD4K+45ZrRKfSoGS1EyLbisHZ4yAa/RJcVxJhNe\n0SFVUe5LjAccaMY/NK/TlZS2BgxImdUmFSzfcRMMBT1yrkjErFdwmwnXqNHAEiG85wred2VD/gjH\nmhFWjCFTIRFHX+F1FzMrZbftkVOWjSCi7DiljuHl7X/CF6OnUYTwUT9M+QH87z+hVZhzz2OKLxUQ\nAQy+VLGmimebDH/3X6H5rTdAc9LxbayJQCHPDgntLEqBy7uE7U+j413yYkCR96h4i5yNvkU/36Rq\n5yEfEbtTqtKkFlxklG+x0vwtrEQMs00yHaMuZU8fMB88VQqMJGfoDmkFV6loQJU6/WKLVHukrkeH\nWVIdEhfHZIwoxFClyjGH9IodWjLDQvgiFQ0wplxzpUqNunSo2iX23T06ssx93uMV/TauOKUmLSwe\nDVMOKGrLLKdyzDIbFJJzxBGhVMuZqdMFlGa1xZYcciZjrrpFUskBISOnSkAFoS11FIjU58D06DFm\nQTscS5eIkEwcn9WrfFPu8YJeZk9OOCKlhuBjed1scyYxA4kR4JCMvmScScwuCTNiyLHUxeMJ6myT\nck0icpRViZhQ0CXn7VyZtcLbDAgEPsss70uXuwU0jTKLz6YreLUoeMlWuasx1yXiivi8qykzhGxr\nTleVRSPkCGvicbcAKw5ffVpWGahjpEJLFBHhWB2j4pS3Dio06ilOQaRMmVoR3pLNxyokO6+2fEgE\nQ2iagOKbBkYsvm2TvvhbNL/9BuQxqjlWQvL8jH5+l8Cfx0qIkpfdqukB/eQdfFPHmAjfnyOy89S9\nFaypkeR7OCmwEiIKBROsU0bpPdACR05omjSlTeEGJG4AD9cVUWXkjhnqCbEkOM3KdWm9JSLTJtMR\nx26HOg1yEmq0qJkGHe8qw/w+ntToFlscyEE5yUscanxSHbHDXTra5rKu4UtIVZrlAKHpvo5knyVW\nSHSIiNDUJvdkkxUWKJeHrJBJwRwdrrAOKD0ZkiPUp/J9QZjRFhEeueQ4lDsMCUXxEXalR1VDevRo\nE3IgJ1QlpKKG95ngiWOGkHXt8K6c4VCuaJPP6EUSGbGmVfbJ2JAqQxJWKT2ZgTqOKIhEaWKpY7G2\nYEVDkIIeBfsyYVkjxOSM1XGspT6j7yy3Xcrz1uM1l1GYnI4IY8lZwQfj6DrwBebER6RgqHDJCpka\nth28YH221DErQkMM+1pwte7YOsho1S0BZQBjKSXt3+IBn3lMBuQ8bPkQWAkIpAYw7ZK1+HYG5l+i\ncus22egWRdFD3QjE4lXKElupNHUYiXBuAuLhmXrZol+9xMH4m+T5Kao5SbqNtU0mOsJpSuDP4UuN\nfvYATyo0wusYKZvrWs1fxU0XQqhIE6Vgu3iXmszgcFyKfoPl4EUCU2ec73Oc3yI0M6zb5zlin5AG\nkWnjETIotjlxe/SLHVQM1+VTFOTM22u0ZI5Vc51FXSCixr4cgCo9d0ggEYe6Sd1bp6Oz7LDNgBGv\nc4e7ZosCyEgJpElKhq+WLmf8qbzOkZywokssap1DGeFjuayrOHK60qfA4XC8QIdb0kMRnnKr3JUe\n2zLCxyeRgoqWS2w/I3VCDAVKSIUKPgJsEbMnh4xIGZNzVSr0mXBJZ3kgR8wQ8CxzmP+PvTeJlW67\n7vt+a+/TVV+36vb369vXfK9/pChKFmVaMtIhDoJ0SAIIMJJJJskoSDPJKIMAATIIMnAmNmDYiZEE\nhhIgsBxFoilSoki99/i+1319c/um6tat5tSpc87eK4NToR1ZAeRHmhQobaBwu1PNHex11l7rv35/\nhBl+KSkv6GJ5IXMihCYGp/BC5oTAV1mlYxxXTcB2WNATYVdL3rIRZ16pY9kkqsrACg2jJCIMyYkF\nZt4QaMBYPT3j+dCVXDOGU/UcqmdHAkY4bm5EBLDkiEBJFUBCEf4nvvsz2gn/7OvPdebRjO9QliMC\nUyMwDaypVY/ObWRaFTiNSTC2jYlXIUjQfEg9uY33M/LyDAGc8aifLzstEbPsEb3kDXI/xEqM14KA\nAKOeZniNvDzDSEhsVxi7PWLqlJoSmBZn2Q8Y+1NCiVnolAEnXLX3yPSChuni3ZQn7gc0pc3UD5bF\nXc9Q91iVS8SmSa4zMr2gHl3lzD+nLnVaskKhc+rSwAkMyyfkzBgxIDOOCRMyyRAxzJjgxDHUfT42\nLwFoScKarBGpcioTHAXHcsF9OWAmM5pE3NJNRITvmaeMJaWvNbZ1nRM55QtzzFNmXNceRoQpGU0C\nhpIRLAVX6zR4KCNaBGgFYMSg9LXJXAqeyYAST5uAV3WVz8yAGgGnsmBEwafOYUzGC+9pivJQxnyV\nHvvLYLGtdQaSs0PMBZ4Mz2vS4okv8CrMzZyBKimeDbGM8LwjNWZSMsbz3IGagssSUYivciqt+B+X\nqZGaBV+UEBvPijGcq9Bd3p4FOFElVWGm0BVZAiurIBIu+SCFKIF41ln5qe0D+IvM459pCQYtR4RL\nxSiAihDWroFatJwBBmndQETB58zHP8C7MXn2jMB2qbfeISuPSWp3mfshtfgGRiI69fd4lv4WsV0n\nKw+ZuxNm7pgk2mZSPCGOLpP5MYUb0gvv4jTD6QJrEsb+mM3gNdbi91gJb3PTvMvUH9Ewq3TiVzjj\nkK72yPyYmrQrQrlOCdSS+gETf0xi+9Skgy/OuWN/gab0yJeeLo95QOlHfNc8wCAVKNkvSKWsdC0q\neDxj5jS1zqt+h1f1GgUFNS9kuuDr+hY39Sr39Da/5l/jnr/KgoISxwVTvu5vs6MrnMqMMxmQkdMh\n5n1WOZcxKTlTKbiu67zpL1Mn4pycb3HMTe2TaECbAI/ysVzwkTllSs6bfosYGFMiGA60ZE7JNW0Q\nIXzDNOkTsWmgpwmvaouBzEiAOpaXMiNZdjosynva41t+wi9Kk8A4alg6InRFiBDqxvNQUj7xJXck\nom8dfQKOKAg0IEcZquJFmUtOXwzvhjBFmKpn1XiOtDKTuiYhPQM9A6+bkJeusncAqGGYaNXCjRC+\nq7uUS8Xqn+X14wSP/xz4FLgP/B0gBnrAPwQeAr8FdP/Y9Y+AL4C/+mO8709kRdLA+WzZUVGEgDjc\nwtdWEJdjwjYm7CDpEYown/6QONzC2BZGYpyfMpp8h0Z0g6OL36QTv453lc4jW7zkcvQ1cql4nK34\nDo1gm+HiPpgYVw6p2zVEQubFARN/wGrrm6CeS8EbIJY0f4FzU1SUlrmEUuJdxoa9w6mckUgTkYDK\nwDlgxVZTt4SrqDpynZEE6zwov0ti1gBHKQWvyXs812fc85s/QuetyyZv+VfYYYdzmRJR4w63aEqX\nBjFnDGhrm2M5RUUZcsYn5iEP+YIzGbCgpEWDH5qXgCGVGTGWlnaXfrYBPW3Q0Tbr9OjSZEUTduWc\nUxlyyoQmAbckIcHyKreZsmDKgrd1hQjY1jYjmbKpddY1YSQz3pEW69riWDIiDH3qVCHfcCxzutQ5\noqRLhMNTqjDG84XOCbD8oQy5bgwfMCGnUoZeqPLSQZOAPpYzD9eM8EQXzLxhhmcFy+elEqnljokp\nFOoask7CnpZsC8yWGclNCQgQvl9WFhSbhDzSnJtWONGK+r7A0xChgSFFsQJ/0/zZ94f5ssHjGvAf\nAu8Cb1Adf/4d4D+jCh53gN9e/gzwGvBvL7/+C8D/8GO894+9QqljJcRIVJG8TIcwWGFx7euYxRQt\nJhC2WaQPwITg5tTa72Gj1SXgJ8K7Gd3m17DJNhvJ15gsHiISUboxBAlRtMN59gm5TsjLE9LygLXa\n17nwJ4yLJwSmwW75MSqeWBpk6RdcFI+ITA/nRuQ6IQl3mLgjMCEjf8S4eMJh8RFbukkrusPMD4il\nRd2sENkuTVknKKY8K/+IMZWg7Iq5g7VNcs3oyBaP9GM6tCikZKgnFBTMuWDEgA/lISvaYMaMhc4Z\n6ikBEcdmBMCWbtDSBrkWfIWvcF0vcZmrfGp2KXFMUK7oFqEGFDh2tEZHO6xphzvyJofmDFXHhBlu\nuUlyPDGWT2TEMzJmzPiH8kN2ZYoIPJYxHSLGZPxQzplIzqekJFgWlOSy4G1/mT0tOWZKV2P2NKcA\nnssQxfOt3LGpTY7VM1JlRSwdLA0MN3SVKxKgwOfO00S4ZoVHmjHGc8dYZijrYvkV26RJwAKPiLIq\nhvsuZ0MMv1PmvNSMCKpsBJgr/GEBdREatuRBaXihOUNveOE9FuXMw/E8oQRmeECpZIPwt/+MT+J+\n2Q08BgqgTqW2rQMHwL8K/K3lNX8L+NeW3/814O8un/MceAz8THqyhgCDwUgCVJX1IOgwf+ebJPuf\ngssqUPFigAk6qFYMh2L2mDLbQ4IWzk8wpkGxOMRnR8zz5xQ6Q4ylIMfnA9LsITVpshLdIyCimbzC\nfvZtIq3uxLlO6ckGkXQIpUHqjkjMCpk7JlqKxbJij9h2GZVP6NsbzHTEanSPKWMOFr9P16yz8BNU\nPYPiCyLbYaIDIiJWw1crnzedc5x/gJWIVIes6RpeAra5jIrSoEmLLk3a3PFbRFLjJq9QUnLN3mNB\nTo0mJzJEsFgMY0n5Lt/D4bCS8Kv6PorlTe3xXA75xBxxIlNemDP25Ii2dPku3yHTAodjW9e4qlus\naotX9SZNaryvG7xCky4dbmuXda1RoLypWwQE9Gjznq6T4nmLFvsyZoajrTE/MLu8TxsVTyY5r0qN\nVSLmaKURiSz/m7tg2wiJKCXKqYc2AXsyJNKAb+g6qIAoXSIaWB4uwoqgrvCFU/ZIMUAby3Xr2dWS\nV2zAS/VsBY4TVbqENI2yUOGasVwNHS9clYn8ShCxX4RsGc+mkYr7ocLdWoFLWz/ioBbLadxUlf9T\nfvCz2CZ/qvVlg8cQ+G+Bl1RBY0SVcWwAx8trjpc/A2wDe//E8/eAnS/53l96GSyh1Kn+bSU0HQLb\norj7dRqf/hAkQMVQZC9Bc0z/bXBz8vyAvBxggw55fog1LWaLh+DmzIOSyK7Sq7+PBK1KwGXbpP6I\nut2icOdk/oJJ9imXat+gH9ymHmxjTI266TP1BxQ6oyAn0wtCqXPhdpn5IWprWBW6Zofcj6tirsK5\njHA4Up0wZcweTxnqKZkbMiMlkoSahtSkxVwnBIQgFqcFDs8Vc5eCktv2fZ7LPn8oH1OS05IVerLN\nTIfsySELP6WQnFf1OopjxpQFBXMWvOqv8QfmCXMdca4nxAgZjjoJ21pb2lImRARc6JAaNXq0GcqE\nUxny++Yxz+SMD+RzHsiAkUzpLNu1gnBGwTXt8VROaGvMJ3KEo6RNQIYj1oAuIU9lgkd5KTNekpFg\nCDEckjFX+E4W8Exz/sWgQU51bNjUOiNZcKAFXUI2qLErF/ylICJT2NcFMzxvxQVPdUEE3LTw7XnI\nM81/lDU9WMRklJQK+6XlujF85jxTb1i3nj3vGDohEE9T4HeKgpWg5MgbJni6WF6xhl3vcbUxkUt+\nVET1QCzCgabMmP20t8qfan3Z4HET+E+oji/bQBP49//YNbp8/P+tP/Fvf/Pb3/vR46MXe3/SJV96\nRdJaKkcTRCzWNDDN20S7u6gEUFwgGILaNZAQPfsQV04oNCUO1snzA5LkBrk7p1m7h022IR9ibZN5\n9gRfjjnNP6R0M1brv8zcHZP7MbVwi07jq4zSD/AsyNwZrhyThNsEUkcUVoLbpDpl5F4QSqWdGBYP\nsJJQ6oKSnLXgLi+KP+IK11iRTfZ5SU2aXJPXSMl45u8TYFi3d3hUfp8XPKdjLmGJQEtOzJAJF0zd\nEYLjWfkhV3SLe/46DdMl1TEv/Ge0zBpfC/8VjvQFNa0REJMQ0ZAWbZpc0TUeyHOu6wrHekZARKoF\n69rhIznAYmkQE2mMo8IQrGqDhiY8kAljMnrETMlRUW7rKgZDpDFTStZ1lR1qGDVsaZMpGdva4nM5\nx6F0qDGVgvuaEiPsaUmE0EDoa4cTFsxVaIvhlTgnBwpK1gmWJtgFJcpIlae+smMogYbWKIEYw7oY\nYg25QY03pE6fkNeTjOMi4lw9D/OA95KcY/XkKrwReh445bL1BCiHpaVlKpJYXeC8tERGUW/JVXiW\nR+QoX3hHiXDuDXNToR0tUGrlXWNF+F/kg5/oPgD46MXe/2evfZn1ZVu1fxWIgP+ZKkhGwC8Ca8D/\nCkyBLeDfBP574C2gA/ze8vn/EfCbwP4fe93/6r/79/513r56ibevXmKz2/6SH++fXsGyvoE6rG1g\npUGQbKG1lSpd9TnU1vDpSyRZxy2OCOINUCVuv4mUM2znHuSjSs/Ruk528QO8LlDNqdXvkucHeM04\n93uou6ARXsWqAS0RsSTBBoU7pxZs4zSl9OPKXkHPUc2ojJ4sDkdHVrESorpgoRNqdo3z8hFWAkaM\nUC25ZF9BTMRUB1yS6/TMDge8ZIUeMZZ1ucT39fsIOYEKiYaMZMKmuUzLblGQ0WKFqcyICXHiGMuY\nCMu39Fvc1CukpJxxyiqrZKR0zQbPeEGEpaMtYiygGBRvIhxzulpnLAsOTSV0W5UVunQRYFWr91lQ\n0CKiQ50zmdDTJqXknEtKScFcclKqjsSxpJyq5yYNjMATmbBBzHu6SV+btMUxFbecm5niFF6lxVQK\ndqjREjgiJ1U4lxxLVRydqyEwnmdkJKI8Zc5lCSnEEyJMpOSROg61pCPCM6/URDHG80YQMMcx9IY1\nU/m4nHvDFVtRzsZa3ZlvWOFElVwNtwPlcR7QsZ7YeHSZwawYiEUrVqpNcFpgBbxWHcA6wh/Kc975\nCQrINrvtH+2zt69e+qm2ar8AvgbUqFrYvwZ8BvzvwG8sr/kN4O8vv/9NqoJqBFwHbgM/tXJyxXGy\nhKZNZHsIAUHQZvSX/jKSXcD8AII62dnvgnpI9wniTSbT7yONy7jpE4pySDr4bfA5gsHnZ5y75zSi\nmyTRNdTGhOEG7eAqVxr/EiudbxIGPaauMng6yv4A1QKjhsP8B0TBJlN3SMvu0DArzJiS6oRE2jTN\nKplOqNlVZjphvfaLxLaLIWDd3GSba+wkv1wNtskqIz1GJCDz59yRe+RkzHXGQif8sv0mO3KNCy5o\nSIdL7HDhTwhtlxXZIpSE5+xxQGUY9Zp5n2OOueu3+Ja5j0G4kAmnnHAm57zUZ2yxzrau0aFFmy5t\n6dOWLjO94HV/hatyiy36hAghhhYdUp1y3zxdHltS1mguMcOOFU04kREBlkvapUmEqtLB4BBCqlmS\nQ0nZ8F2uUedzUv4vs8tU5jSIOKfgHb/NFglXqPEZYyYUPFoGE4eQiWPPQZeQuQrv2QiHck8SbmmH\ncKmGPfTwlt9inZCuqQxE6xjWrTJ2lg0J+NQXFFR33wtVMl8N14+XlLkN63mRVxT2t0xM31ZzMTdC\nR886Rq66b4+98Lw0LICmCOdlxjd/8b/EItSkmhD+f93pnvDop7Vl/lTrx+F5/KdUAcIDHwD/AdAC\n/h5whaow+m9R1UMA/gvgr1MJ6v5j4B/8Ca/5z4XnkZgec72gZTYxYglsF3fjVwlPD9AgxqSnaG0d\nmZ+iApoP8ZpjJMFEPfAFWfaEwg2pRzcxQQtfjsmLI+L6HfL5M0Lbx1Ewz59TDy+TFrsk4TaPFr/D\n3fjXCIIerhxS+AmoZ98/oKEJG7VfIlu8AGMxEhOYFueLT6gFGzg3xeNIdUgiPYa6T4M6M2a06RES\nUi4d0YwYCoE6dYJglXH+EIenJm0WWvmxhkRLm8orDPxLLCEJTTJm7LNHTSMCiahpwrkMWWOdMx3Q\nlx5ePbtyyD3eYFefMJQxXdpMmFA56bZJNWUgOWvE9NlgnxfkCN/nmNdpspCSmjZgqQk5lTk5lc5h\nS1sscNQxFHgOZcq6NunQYcYFDRI+kGNSlA0CLmmPCOWZjCioLBUOWLC6tKP+3BdYcWwTc4MGj+WC\n63R4yYQEIcUxxrNFxAkFTuGmNPhAp3RFGHilIYLD0xXDSD2hCB0N6WDIgVNZcOqEN03EPjkDVaZl\nQNtWXZOWQAaMnOUrYUVlf1AYLPBmCN+ZB7xRW3DmqyCUqZAYTwth4AzdwGOoTLkFQJW/zq/8xPcH\n/PR5Hv8N8DpVq/Y3qDopQ6os5A7V0Wb0T1z/XwO3gFf4kwPHP5cVSwtRaMgKVirSua1fIxwOkHwK\ns318cwdJjyjmzyCoUbhKWSq2CWIoFwcYtdTj2wiGPNtFXUbSeI35/BGBNFDNceWQyHaxQZd27R7O\nz7li7nKY/xHgSYs9JuU+XnOuBu/Tkg1epv831ta5KHcxBHyW/R/E0uCT8h/hWDD0e4z1nEQaXAne\nZcVe47J9g058l0awQ6rnGAyt4BqZGyIIi+KAuU441QMS02GiQxDLhQ5omk2O3WM+kEdMmdKwa8Qk\n1DuEyV0AACAASURBVIjos0pNEzqyxl3zC4z1grvB18i0shC4w22Gesx9c0CDGE9JREhOiaojJsRL\nygY7jBlV07ja4t/gHQpxzHG0CdhilbHkvOV3eFPXmONYkNPE0qDGVBb0NKFOwOeyR47wWM546Cpb\nyAYBT2XAjJwHPmeG44iMV7TNfb8gwPCaCbksIZ+5kmwJDxJVLmuDFiERlg1C0iW3dIZyxpxfpsPA\nw1VTCdVekxpehZE3dDCcUfJDn3PAgghh3cBIcnYkYFWES1FBIMqzrMZoye+w4vmDwlcUdusYFBH7\n3vNqLeN5aZbewkokSqaCRwlMpQvxCi2kysTE8jf+DE3g/lzL0w0hViIcBbFdIbAtjK2T3b1HMJ6j\n80MkXoXJM8r8hCC5hJvvEtZvYRQIWxTpQ2y4ipEAE7ZBS4KgTenOWZRnxLbHRfGYyDRxmhEHG5hw\nhXzxAsVjTEwnuE5aHOA0ZaXxFebFLpHtEwUrtIPLlOUFreAy+8UHbJirBKZBnz6KsBbcrWRWEuP8\nnFPdI1DDRfGUUOoEEjEzC6wvCCRgqiPOOWIkIzblErmOMRLQD26R+kF1xAHmzJmRUuoErwV9Wee+\nfE6bJnvyEuNzLIaP9T6bsgbqCCVEUPrUaGidlvQx6tmUSzSkDXiaWqOQgikzAgwLFgjg8eTkzCQj\n1oAVajRokUnGvkzZocWUnGOZcMOv8akZoHieqScyBRnwrjS4Ros9SVnXBFDuyRqdJSn0haQ0Bdoa\nkIsyxbNilKkUHGrBBZ5UFgyppmJfocNQMg6Ww2uhBoxkwUA992jxUjP2teTIC6/YgOdaTRF3rVas\nFwwnCp9mMVGQsyMhOZ5DZ9iMchbekKnQMJ6TIqJjHTNvaBpPYTwxcO4CAhHWTUVaR2CqVQKw/1Lo\ndKrfBbJs4YrQFUuXn1w9EP5Cnv5PrVASECUxVZ1DsOSv/zK1J8+QbEB56ReQcs4sf4xd/yW0nKK+\nRFyKiuCzfaLm65SLQ0yyCWGbcfYJBA2i5Cq18BKlu6Bbf59puUccrFO4AfgFThcYpOrwBF1CSbCE\nTNP7JHaV0k/Iy1MQwS9pWwEB7fgOlUl2ncR0SX0FRg5Nk8DU2AnfxuuCxLSZ+mNynZJ4YU8fIVhU\nF0Qa8Xb0L7PQlAEV0dxR0DArNGiyZe5wXXdo0UDV0TQ9QmlwR6/RNets6SaRNBjLmOu6zvfkCx6b\nIxaaVndFraTjz3nKSMZ8zhd8wiccyhEPzR6nesYhAx6ZA3IpyaTkSEacyoJb/jJPzRmfyQkTGbPJ\nFne0zUjmjCRjjOP3zC4bJKzT4i1JuKU9+oTEBEzJaGB5KSkxAR/LIU9lwrEsaGB4V9cZS8lLzelr\nzJmCRdiRkB0JmOHpEwGeY5nx7ayyljRqqQlkKK+ZiF2ZsG0MiShXAuWj0vNs2qS9JIo1EEqFTKEf\n5niUx75kotAzSlOgIYJ6Q+oNXeuxGNBK36HecOwq7unUGT4rDAM1XJOA87I6el264rn/vMJMZqqk\nWnnu/i7Pfoa76h+vn9vgUTnUhwQkGBNT6ATTuEK4fwa+ROMexdO/i2pJI7qDnn+GiCVovQoqzOcP\nMbVLsDgHE+BrPUbn/4BW55cQW0PLFNWSuTvD+JLMj3B+Rhht8WT69yn9DGua2GCF6eIRCzekHt+s\n/GzDbVDPSfkAE7QJ7QoTt8t6cJfj7Huk7hABcp1hsNRNn8ydcFR+TukmpHpBLE02u3+NmCYzLgjU\ncqGndIOb7DR+jaw8AbGs0McSc1Y+YOD3aJoeORkpKRu6hsFQ6ALB0DXb1KUDKLHU6OkqJzLgnt/m\ntu4QkZAyJZKEmJgGCXWtscY6r3KHiIjb/hLPzYAOdTa1w5AJC025rD2+qa/jUC5phzu6xjMG/JZ8\nxK5Mec1fZ0fbrBLxnm6wpg0+kyEpju9yRKiGEEuNkBYhd7VDKpWNQ4nnhjbY0Ca/7YasaUxX4ICM\n5nIGJcXzlDmXiHmqGSsSMsfxa4lH1VKK57EuONPK06UE9rVCCgrK9dARhiUTVRJRjrwSCayLwYqS\nqaElFSn9oLSIQGgcDetoGE+hcOyEuQqRUb5iQ9asZysoyZcBBYUflkpkHDWBwzLgjWuTinsq1WcK\nFHJV/ob+7Kdvf26DR0iNUJoYCbGmST2+yez6K4grwEQw26O+8g3c4ghpXkHUUxSnkJ/jyjNqjTfQ\n7ICT2e9i403c2feqImo+Zb54iuIpyxHN6BrP09+iF97Ca44rJ2zaW9SjG6jmXMx/CD6nlbzCePE5\n1jYoNcWxYD14hS+mf4/Pit8mMi1SP6AuK0TSwqMsSPHk1INtErtGTRp87r7DevIVvJZk04/JmFTd\nIwwrZotI6pylv8/UHxNLnbnOmDPBq+NQzjj3R5SashBP26zRoFFlEfqYXGeUWqAoI39I12zR1SYd\n6dFmhbXgFj1WOdUhitLWNg0arLPGoe4TasiBHPOr+hUmLJiSsUqHrnSp0+AzecqZnNLXLju6yQ4t\nNqnT05jnsk9TEwK1vJARAYa72uZtvcaKRKTiaGqdgcx5zoyBZMviacQI5SNNeS4T7gaWiJAEw22a\njKXgV/w1xt6wguECBwgpJR1C7ruq/QqKqKVU6BFTea5U3Y6+1pmr8naS/2MLBgwfFpVx1KpRmlim\neNbE0glKDktDTZSeUYbO8s1YeCX03IgK5l44lJw2lhzoLANIxyipN6xZzwKlaR05ykcfdXAsC7gC\nRgQ1Jbrkvfys1s9lzSOWFoGpIxJiJMYGDfzW+yRHz5FyjgYh2tjCLEb41Tc4P/jb1Fd+icA0QEBU\n8MUAwVIzK2gQkWYPaSevgXrEO4rylCjcIctfEmIJ7Qq5H5G5U7wuGJcvqIXbpP6YTvImi8VzItsB\n9UyKxzSb7yJuzorZIfbVZ57pkG5wo6qViKUmLQKp/QhYFxHjdU7uBkx1wIl/xmb8Dh3ZoBvdZeHO\nAIfTBd3gFqk7QjC0TB+RkDPOaFKja7eJPQxlRJMWhc6ZygUDHXDIHj1WeCq73JeH1AjIySg0I/Uj\nPjNPuKPXmTLmhRwtvVUmrEifNdliwDlNjXhqjniP13nISy4YcyYXOFVOZU7KnHV6ZMw5kxlzKelR\n49RMcOLZ1haBRvwjOaYrsKMtBM9MMl7Va5SknMmCBCHRgOs02JKEY5mT4tgj4y5tECUSx6cy4LrE\nnFNSAn0xOCqY8YYBI8oqEW/SJTMZXjzbWucFC25KjBOPFdhzwsoyAxij/Lpt8qEvMMYzR9kxln11\n5N7ybmD4MLcMnKVlHS+80jcgarlQ5cwZmsZhBU6LkF5YYhF61nHiLIrQMopTYW0zq3ouAoVWnYma\nCH/ELu/+hLQff0ESoxq1j0xraQcZY20TG62iUaMaeoua4B0mPcSLwaSnxMQYDPgFGlbZyiJ7ClpA\nWMc6JY4rELL6HNu6g3UOE3UwCnHQJ/cTQiJCaVKLdirrBl3gNUXUoeqqbEEvaIaXCaVF6YYs3JAL\nBssR7zmiJV4EUU+m58S2z8wdIMDYH9KVKruIgzWsL6hqayXzYp+B7tMPblFqxkyHxFJjwICEGCOW\nPj0a0uRU9+mZHdRnDMyMgJBSFziBK1xhzoweHRw527oBIvTNDl5zOtogl5KBjLmq23SkRcaCDbbY\n5RmCMpARXZrMmHJdd2iScCZj6sSs0qSO5ZkccW5SrmqPCEuLhIlkZHgOZIri6BFWICDxRCSUFAzk\ngiOZc0M7XEjBCglPZUwdg1vSwgTBiaOlMV48ETDGMVVlorBKQCKGIY6BV5pS2VIOZc7nzrFi4DMy\nQqC2fL1dLUGUQKr7/VQN3uTURMkRIlH2XFVYPfTKqXpWrXIzEB5mEXWjnPqqKHqcR6yHJbUlYDkw\nnpM8RqQSmtWNsmaUY2exopRUdLJIlFAqrUNlMwE3aZNQ+/F2HX9RMAWgZvqoeqxpVPJz2yJ9+z3s\n5BQQpJji6z3AQHaCL8YE0TYStPDlDFmMcIsT4vgqHodxHhqXMNE63mXYeAM3foDXgnT2Q4J4G9TR\nbLxDrfZqVWcJNxiXz4jDbep2A7yj0BQrESu1dyndmFn2OQ+K3yMO1ujLDoFJaNttmuENYmlUMnnq\nnBePiKWNF89G/RuEpok1NRqmz1AG1MMdFv4cKwEds8lZ8RkzxtRsnz19wqvxr9OxVwmJecFjUib0\nZYN9/4in8oIVH5PqOR+bQ9a0S40mDkdLVphKzkhGnHHGqd9FMAykkrhHCCKGvmzSpM4nfEJJwb5c\nUCOkTkxL63whz3hiDtj2Pa5xCUfBjm6xRYev+tcINeBCUmrUqbSlnhvaYV1btAhZ1S49bXMgQ7o0\nWKPNVW3h8fQ15lCm9ImZSE4oBXWEe3QIgWdyQbRsr17TJiHCKxKTSonRAINyxVgM8EOd8okuuGuF\nE0ouSXVfHUjBEzJ2jOUNE3KskAhcOIOgHHshV2FVLHcD5WPnWLeevvVcFBEbEvBGLcNJJTa7qGQb\nOKmG886cBRUuxxmhcXStq1q3UnndFir0Babe8K3/cQZaKS1Dqchjf4f7P6ut9vOVeYRSQymrzIMA\nG7SRxg7B+RxRj2anEK9UzNDGOtZ70By0BJdhks3qHBl3EFdgsIitIbaOz0/BzXHlOYihcANqq38Z\nstOKvVGcYPAEjdtoPqQRXqUsh4iJQELicIvAtjmff1RpMXTGtfpf4WTxEaGEFJqy0AnPyg9ohNv4\n8oKh7iNiaAWXOCg/IXAZc3+OasGgfEwmcyKnFD5llycULAgIaEqXPf8p62xTs2uM3FNO/C5eHJtc\nZco5gUT0tMMFFRN0TRtYDO3gEgbBUdBaQpdLKeiywlwWrOs6sdSYMEG08qddl00amvDIHHFZexVd\nDZjKlA3tMWWBFWVOSoMaT8wBgjCTlAYJq9rm9+UFb+jW8r09I1kwkZyZzNnQPulyovWEMc9kxlBy\nCimICTkj4wJHRxPOJSfBcp85NRGea14Ny4qjKYYeDQopeE6GiPCa9sgkJ8ezLSGn6vgrepmXTOiI\nZUdrPNOCfSc48cy9ZazQFBgqdI3nZR6zah2hGI48eKngP0MpeeCUXIUtq9SNZ+INb8UlfTG8LC0N\n4xmXwVJ1GmClCk5HrqqZLFQ4LANi43nj/QBZZh5WBKfKSRnSMyUbPyZ57M/9sSWSRjXObmrYoIkJ\n2ox/6auEoxIZ7yFJH1mMKOfPMekZSjUPIfFaJQ5LH2FNDeMcRXGKiGBsnXL+kqI4ImzeQsoFqCcI\nekzHf8C43KfX/DplcYRITJHtEgQdJtl9PCWzco+ZP6KT3EPiVWINsQQM/R7GpXTCa+R+SjPYYeZP\nuBK+h18GqLbZxGuOasXpmvkzMqYktoOK0pctUj9kNbhDnahyYQtuce5esm6ucKGneE1Z+DFb4RvM\n3YBQIuqmx8wPEBGa0kFEiLDkUrJqrhJqwK4+4VwmrMkaXVaYypSOdjjigIXMucVrBGJYkHMip1gs\nl3SNkIAGTYYyoqEJCTVyWfBUKr1gW2skhJzKlDXaZFQ+t5iCEMOpTDiTjEQMfa2xqSscyRlzKUmo\nIXgupOJ1XNI6qzTZosllmjySETe1TYlixLHl26QmY0MTRJSbfpU9M2Koji0ipuKYUXKBZ0zVRTlR\nZd+MeZMuz5lzSM5XpHqduVazKkOFTqDMgd084ZU4oy6Gl94zcwFTF6CmOuasWqUQrSBKzlIX4chX\nsyx+KQpjGRDWrGfgqk7NRRmyE4CIx5hKRFYgPD/vslLLCKQKIIlxnMmEt3/M2sef62NLQExkV6pa\nh4kRBG1fpfWDR5hsioRttKiMiGznHrr6BnRu8SPHrrCOKy8osj0I6lUQaVzHu3k1Mq9zNDurMomg\nBqrU7AYts0qWfkbmx1jbxiabLMpjGs33CKmhAk1ZBbH4+V7VpfEzduKvMtEBHs9cR3jN2YjeYeHO\niEyXsZ7gKfE4FjphRdbYsLe50f13yTUFwEqdmmlzXH5GgSOizkF5f2khIcxkBlr9h5+V32YmKZWX\n7oRAIjB1VB19cxlLwCW5xZH7lAt/xIbs8Fbwq3g8Z5yxKjuccsSZmRFqxL4+4VTPeGgOSTRkRVZY\nSEEqKQUFQ5mRSsZIRjS0xht+ix5txjJlzHwJ/1XGkvLCDLji1wg0WM6o7LCuLR7LBQMZM2JBsMyG\nMil5Vzd5VdsU4ggwzFlwLBPaWL5gwpnMCREGZspVbVJKJe76gTlCEO7SJhfP+9qjJUJDLBtSjcmH\nUm2K5zJBRPkmGzyRMTMVrMAUZd3AOgarhttRzsO0zoGDy2L59TBgJSj4ZNrgxSLh2FUzLwlCbDwZ\nSkOUc1UunCX3lqkLuGyVB1nM9bBk4iyNoCQ0DkcFzJmpcFiEdDtjchXGXlhoZcQ9V+V35MOf+p77\nuck8aqZHsDSiNhJj4jUmb75GNBhjJgdo0oFyDmETwSNlgSkWuMUhJurD4pwgXEV1Xj3f1kGqyoP4\ngtj2sVEP1RJXnFd/MwlB0MW7lHpyiyx/QZLcBLcgzR6jAg2zSRCuVMChxRMKnWMlJHdnFFoJwwLi\nKgOSAMWz8EPW4vewEmGBbvI283KfTC8o82O8ZtTNKqUfU5LTsZWrfc30yHRMZhzOz2hLr9IIIEQE\ntGWFiBrTJTOjSYsXPCXXFINyqkccyJBM5qjm5H7EkRwTa8C5nhERMGcZIKRglR6XWOdcRngtWZVN\nQgJCCVEc69rnWEbMZM4NuUmoVLYM4qhrwJlMaZMAwp45J8CwQ4tcCs4lpa8JHW2wb6asaIzDM8fx\nkilrVJO7QxZ8wZSOGDIcG8ScSUFLQ4plgfFcYZ8FoRh0SVKvE/JcJvQ14TlzVCrWx4pYTpxQSuVs\nP2TOGZ6uEbbF0iPiUEusKLulJTFKLrAdeHLxHFIwKEPerOU0goI1o0xUUJYzPAZGClNvWQ0cbesY\ne8sCpRM45iqsBJ6uUR7kIbGpjj2rViuWLvBy1GSjXjFOCxUigVPyH8u24c/tsaVu1hCEwDZQPEGy\ng29sEJ9eYPIJvlkxiYz3SDnDdS5jihRRj4RdyEe4/h3ceVUALbMXlOUQQwS1DaxaFEWCFvicojwl\njDaxQRsVITA18vyokrCrw8br+OKcRvurTOYfY9VUehNJiMM1LBGBqRORgAgX/oBOcB0B1BeEpsGs\n2MNrRmDqFO6cxPQJsIS2g/qSUmfEptKDBBIT0eBEn1KXJqvmEgZFMEx0QEhE3bR5wVNatOibK9Sl\nzcDv0qHDTvA6aIGILLssBQUlIcGSbL7KvhzSoM6WrGPUs0qfGVPa0iVUy0dyyJrWmDHlXM65wlU+\nlydMJecO15joBZnMGciMLd+lSUJJya7M+Bqv09IQLyUN6hzJCMFwRdeYyIy3uctzOaJNzEuZEguI\nKANy6lhqYmhQoQ+tGFpYNmjymCmPteR9aVIXmCggnroYjmTBkVe2TcgxBdelxkeuqHxZjGFfPTUR\nBuppGbhExAjHp6XnsIgQU2ksYlF61nHgDK+bACOQiSMQz0kZIKJ4hL0i5lboOFClZ2GuQqbC83md\nWR5xozZnN4/BeBLjSVVom6pw2jSOCxWO85jtsCBKCpQqaHipCLwAoeZsSv9Lbbw/t8cWxWNNDTBY\n2wRVFu9cR4oU1+iDd0gxQ6Mm3qWYs0+QfIpmR7AYQH0Lc3qfeXmAuEUVGEwdMTEUE3zSQUxIkb1g\nvnhKktxksXiJY4EvRpzPPyRu3CWwHUzYQ01IqRnp+A8xVFO8SEhW7HIy/z5p/pxR/gCPUgsvUZcm\n4+IJpZ/iyHFaMOIYNUElAJMamTsl01HV2YmvEUkDryXt4DJH7hEn/glrcgVHiZGYlJSJntMzm5zJ\nGZYaG7rOU55w7B6Ra4oaSykw9Se0zCZWLZmm1DWhT4+RjDASsC+7bGi/KnLqBMQwkAumkmJMk1QW\nvKeXmcgFEQGXuMIL9rijV7imfQRPT/pEGla+LeKJiDiVeXUnZ589GbKqfb4ne7S1wbq22JNTPHDE\nPtvaJaFGl4iYgEgjLnBMJEfwjLTk0CtgSHGcMaMjlrsmwLGEG1OyUMMFJSsEpCo80wWvSo0QuGuF\nhRpOtWTVwDoBhQp1tTzRnENfebXcihdcNtA0ylVTtXJVDU8053FhuG0sDxYJr4WeBEtYCU/5NLeU\n3nBYGratcpLVeKuRcqn5/7D3Xj2WZdmd32/tvY+9PrzJSFdZlWWabMNu9ogDzlAQKQiYgb6Pvoqe\nBb1IT4IgASIhSCO2yFaLXWRXl81KGxmRYa83x+299HCCDQgYiOKIPUBN6wCBwA0E4uAG7l5nrf/6\nmyVnjWPgaiZlwtRbVIWOac2RzxvHuI5IbOBtHVEFwya0R7cNjWo7kr/Qy3/r+fhtXd/5zsMSkbtD\nAMzdgdf+I2QWwEXY9RSaFWF9isRDjIkp11/j6zFowOYP8KuvsKZDtP8nUM1bLoftAoFm7xP06q9o\nmhlRckCUHKHNjHH1BTk9ECFP3mOz/pxx/RWr6iW52SG2Q8AS2z4iEY0fM/Fv2HHvEahJzIiNvyL4\nJbk7Jo9OaPwE1YBSYbFEklGEa7wWrMJNi6FQkboDNv6CWjfM/FuGcsCWe8jCv6NrtjE4EnJS6WKJ\nWeg1XXpsWHBoHmGJ+Ew+4yDsoLRGyBHCkhlr1gQ8L+Udx7pHJTWP5COsCpHEbNiQS5ctRnQZkJDy\nmXxDoGLCilMzZld73MqYUgpQuCePGNj7DGWPUYgwGN7KFQf02EhNjGFH+9zIhPd0By8NmSZMzZoE\ni0FYU1JSs0VKKTWNeLY1JsXwPb2Hl4JtcRTi+TrUlKbhPhmgVOKZ07BEufWGHdO6hVXS8GMGnMma\nV1pRoqRG+QFDntDnVJZsG+FcAz+WnMo0rFTvuBfKwAgRrYfH4s4IyBvPjcJHkedXleUT6zDiuQ4t\nMLoOlgCMg+GnWcUc5cvpiMNsQ2qUuY/ou6YtmrVDBRqEw6imbz2lGozAwHr8HdhqgVKF3Cj31NGV\nf7xo7ndybEnNEAg408VGQ4w4Fv/5j8m+OCPEGdKUaNzFhNDiHgjO9hBfYuN92qzZBcZ2EZNQLz5D\nbIz6FajH1Yr0H7Ba/A1p/wdcT/57rArd9CnO5iyqb0niw7Yz8QtyM6BubtqnETXOjSjrM6L4gCgY\nItsninYRIDY9qjDDYFr4UGucSSnDnNzstDwVDIXOyMyAgGfQ+ylX659RUTF077V2zibhOrwkN30a\nLcnsHsjf06sbIgylbuibXSLpMA5vOeaQVHqsWFBJzYqSQjbkZBRS0tGEA/Mep7wmJ0aMo9aSjvTo\n0OcFz2io8FqwYMmhbnOPYxyBc2nff0czvHhuuMKFmpo1VhxjuWVbB21khHbxEiikpKcdprIi1YiV\nVHRI2FAx1C5BPBsqFtQECTgM57KhKxELNjQS2KbDRmo6IjzRHgAlihPLtrbGP79vUp5RMRAhFcsr\nWfNQO9TSHvo9saylZiw1U234vIq4H3kuqcmwvPGGEwMvGssPTcavtaJQw6yJyGxDrbClGa+04cgF\nPq8FawJBLWtvuR9XVCqMbOBZ7ShUeL+z5k2RodISxhLTgqobNXgVitCuamehHUYPneeicbz9Evb3\nlFoFe4eHfCsT/uDfAfv4HRxbWiKNM912wxAatHef7H+7Qa3DriYtnbyYIPGw/d5sEATbfYw24zZx\nTSyEgjB/hogj1DNEHMZ2AI9Z3ZKaHW5u/zuGycfEbg+XHiHxFpHp0dRTBMdSb6jCgtgMGdfftNyS\nUJPGDymL1y0bVCx1fYXahEnzHBCqMCfkh6TJQ4xJiU3L7qzClDLM6Jg9Ar4lDRVvueCMCTds/AV5\n/IBr/xyvJV13n7XOW7NkSQDDRqdkMsCKITHbrMMNU5m1GxG9BJR78oiKNSMdIGL4QH6fAX1m4YJP\n5Pvk9HHSZSJTMrp8TbvdqWkYy4w+GQr8rfmKCUsSLE/0AedmwljW/EyueC2nfMlX/JX8LVYtNa2T\n+ju5YcqydRKnRoCvzTUWQ0MbRPWZOcdg6N5FNiXEdDThiY7YELiVilgtU9oty5ZGPJc5rygYENPH\n8T/WJX2BU1nxh3T4Inj6WO6TsJQaVHgkES9CYKYBaOiI8EeJsoVlqfAyBA5cwxtVfhIZfq4roE1+\n67qatXdMveXsztbwxhtCsBRqGEUV99KCG28ZWn+3alWaYLhqLB9mayrvqIJl4R0ltLyQJuIkLjkt\nMurQam2elQmFtzz+pOWBWIFKW0JZoLVb+PdxfaeLR8fsY00HuaOhi+0w/dFT7GaOWke1tQ+bC4g7\nBBejxqLlGI16aDmm8Su0KTCSgUmwNsfEu7j0EO6QeY16eOMBT9dsE/U+bh3RV59Tr77FYohcj+nm\nb7kX/5StrX+FiXfuPvw14+pXNM2YIsz+3ukTUWG6+RU78ffoJU9xkuPWV5TNJW/rT1E803COk5h+\n8glZ8ojcHjCIn7Kuz/nQ/TFP7E9otKKqLzlwH93xNWxLrdcZXluf80oLzsJz3nHOzL8hN9s84DGd\nu5GrdWR3ZJqyJYecyi3vwkvmssRT87V+xZd8ztyfEanlVt9xwD4Oi5DQ1w5bbFNSchgGvKf3qPAs\nZcVxGHEYhvxIR/yaCWPZ0NeUc3PLG3PDhpJzWdMlZVuHWHHUNHwU9nkhYy5kwVoaTnTApcw5lwWP\n9YCOOr6VGbs6Yqw1cypyEj6VORM8v2LFLjEiDc9kwQuW/GdxmwrYI6JLxn0jbGjYEPh1KDki44QO\nj4y0ilZtOCBhTM1z9RwaYenbbUtMGw2pKniFH1rLoQ1ce+HIBV4tevQEDq1irWcRhC8WfSIVetYz\n95bz2vEvo4iVdxwZ8CqMooq9qKIOwjpYbuoYUfi7yYjtuGRgPfFdh9G9G1t+8fN7eIVYWp5KJsJ/\nxS/+vZy/7/TYkox+gBRjREyLd6RbuKXB531suSG6+RZM3K5ByylUU8R2EGPQetYWHJcjJkLVDPvV\nwQAAIABJREFUI1EPLa8x0RAwiHqoF0ioUa1I4hOwGVqNW2tCf4HiKesLRsM/owkLmuKM2/Lv2M/+\nGbWf0I8/pAw3iCr97o+RsOG2+Yat6H3W9Vs2/oJGatLomLI+I1DjtWJkHwCCasGmfktsOhiTUoc5\nBstGpyg1la4QMXTsAZWf0jV7rHSCqJLbPSbhlB05YsRuC94S4yRizgRRT6kbOtKjZ0asdMoH5veI\nJaHWFQPZZaAd+uRMmNCjR8EGA4wYEYnFSsSCGXMpQFq7vCCBMXP22OZGplzKiu/rMdeyIMOS4NhI\nTYnyge5xbWZsa5+bO03MXFb0idnXAQmOhWyoUY50wBfmmrVUbBNTUXKPLoXUqAQCngeaU0vDJTWq\n9k4XY1hQ8yIEVAJz2XBESkGgVMMcD6bBSOBUW73Qm8bxnnUIihflyzKm79pic2zgVSMMXeBDk3Kl\nNRXwYxczxrOblkxCuy0Ze8uODVxsMnbTklxg5S3GKGoqlsDYWxAlMsq0iWjU0rEBr4Ia6CUlIjCp\nI3Lb9qCxCZQI909mxNIK6P6efZqI/KNJY79TY0tudtDptzjbR7CAoTh6ilvPiabXSFO0WxYgrM8I\n/fuQHaKholp8gYYSsoN21GlatyvqFU0UE6pbTLxFUZ8DSlPftEBpKBH1NLohRAnTcEm3+xN66cds\nFr/kev1zBOWg+59QVOetNibq4/2S1O4AgbqZMLT3KJqrVsVLoG/vMyk+5Tx8i8WSSIcsfUodVlhi\nuvFjjMmo/Zi53rAKl8SS0rUHBDyWlGn9nNTtsQhnZGbIKlxzXv+SFSve6Ss60TFLvWWhF5yHb0Eb\nMumxJ8ecaUtfv5VrzvyXRCQ0eDoyRPHEktGlw0gO6NJj19xjyoQuXSbcUlFhEU70EIfhQLd5rEeA\nsq/b/PPwCSoNO5ohCAkRPU2JMDwzF9wL+7yWC97InB326JISEfF/mHNmUvCWNTuas6bmiQ64oLyL\ndQhcy4rvh3uc6BZPtM9SWmziT8IJ32dIBVyqpyTw2BgSICdiTusu9lwr9ozwq1p4oyVGLdtYpk3E\n/9yU3NIwwvDDpMaK8raMee7B2YYMYUXFKy/kAn/dVNwGmHrD+8aQqOVBVBEZz73+nDdVTBkMj+KG\ntbd8WaTsuYbEes6KlLd3uMdeXBJoXdr3bENqAlUwjKKaMhhyE4ikJf8F4KJK7nTXLaEM4M/59W/9\nDH5nO49IciLTRSTBuA4m3sIPdpHaY4s7A5/eASZ4xERIvWk1F8UpNt7GdN+jWnyGNV1I+mio2Wy+\nJovvA55y85zIDpkUn9LJngJyt7qd49wAJxk9s49xfTQUQEAIJNEBYmJE6zYFTobE8QE23mW8/F+5\n8S/YTn+EhjWx3aIIY8owocEzsvdIpU9keqzq1y09HkPQirP6U1JyvG5wkpDaLZztQygodEZiOqz8\nBTe8Y0uO2eiUgg0Wx7F5zMSfokAsGZnkWIlbhaee06NHLK2XRkzMJWcYDJWuUAJv5RIrULJhx9zj\nK/0KJ8JCF9zKighHj9Z5bCkl4DEYJjKjlIZruaGrOTuM2k0KCSsKciJ26JFIiqGlYte64RszZSEF\n29qOCD0SGgIzKdimS4bDodxKyZqGZzKhkIojhryRGQONuDZrPtc170nGmIYn0hr9G5T3dMiciif0\n2ZgSVcs/M3lb1IyyxLPjGvrGMBLHRAMqsCuGxDastLUSHIjhbypDx3q6AgnCReM4dIqYwOvQ6lRW\nKiSizJtWm9I1nlmwpCZQqBCJkljPflzTMYFxE4EITloW6sY7mmBYNhG5awlqGzWoGpzAQ2vY4Imk\n1RQ1QCMFv/+P6D5+ZzoPwbTdhrS2eyIO390nuXiNVAtAkKbAjr+BetUmwdVzEIt1I4zJwVgi6SAu\nJ6zPaTZvMCYhNDOMG5LmTxGbst35Y/A19B8TworGT/D1mHXxLeCp1s8QiQHDcPAfY4hYr3/Nuj5l\nGH+I6T5CiCg2L+i6B+y4J4SwptAlIWwQFbr2mI4ZYk16x5C1JJKz8lfUYUET1mQyYupPiSSna08I\nocSHVofqTE5sepRsOJLHqCgiloHsIEBkenRpu4hMeqx1QaVrLvSMQjZ0ZEhOj5nM8QQmzMlou4RY\nUvZ1gCh06XIVXjHUlJ72MLTpbH3Nmd2lydn2v89K1vS1y4VMeCtt4llFxa0ssWp5rCeccIwgfC6v\nqamYUfLCTMiAGTVb5NxKya9Y8HcyY6AJn8kF17JkQ80VJQnC93ULCHwpl2RYjAhrah4bxwVrErV8\npmsqAgsCz5mzkYahZsy01cH8hV9RSEmFckzCWuHCK0LAidJDeB0CPzQ5/8LFvKkjPq0NH0Seiyqh\nUuXCC0+Tmi/WacsZVmF2Z0O4beAwKTHATIWnsefD2NOznlqFWR1z01h+ebFLxzXcFAmNCnUwWKP0\n4or38zV71mNEWTURa2+Ze8M1FYW2wK0FUhHaEu7/bcfnn+z6TnYeqfQwxmEkbdeZ8Rarjz4gnixa\n3YkIPusTujuIb5mAmu8hvoB0B3UxUs7BRi2mgeLiXaztI9lRi3H4NU0zoarfYU0HXZ9iBx9Tr15S\nhtZnw/U+xEYjfHWDRD2MSSiqU5b+ksxsYaIB0mxYV8+JTY/az8jj+3hdYVWoWROZnLW/ACzd/PdY\nll8z8a/voh8iIpNjJGETbrDi6Nh9Vv6c1GwTpCGWLkE3iCoeT6MF43CGxVJTkkmfnrvPJtxwJVdk\nJMSSkpo+U8Yk7U/Y6IKBbDNjQo8uhVQMZQja6oZqKgKevuxQUSDAljkiV8upXPEBT0jVscM+FkNG\nxrlcEWPZIiPc5cimOApREizncolgaPD0ydki51KWpFh2NWUmJX1NGIilwnMrFZ7WYyNIm+fqUTpE\nXEvBQdi+8//wdHD8VdhwIK1L+hEJr6l4Kl2+ZE1PDBMp2RbLFhEfmJjXWiMSGON501j+KIqZ0FBo\nK6GvtI1PuKLhqbXkxvOrMuLRXSrdwlvuWyW4mkmQlgVqlB/biAtts1p2bOBNFXNaxZR3grnX0z57\n+YaRDSRZiRNYNBGP01YAeBRXzOqYlRoa4LZO2ItLKhUyG5g1Dl/FdKKaSgVDK9n/BW/+X1PWf2d4\nHrHpAQFrEqztIdEAW8VICEgxJWQjTL3BrqeU05/jJEHLC0I9a8eMuIOpltCsUBOhocRTorvfx2xu\n8ZtX2HgLKzmu84iqeEE0+D6b8V/iTKdt+cUj1YxV8TWR6WAlolh/RZo+wfg1ax2DL6nqW1K7zaY5\nJzJdaj/B2S6lqUk7H2J8hSUiS9/jZvWXGAy7yQ9BGyyGpY6JicjNFrFkzMI5fXefWXjLKlzhdUPH\n7hO5LRyOIsxYyoK+bIG0WS2vw68pWfHY/ogrfUNOF4NhIFtE2DsJveeVvCKVhJ70AQPqSUyvjduU\njIINgZqODClZU9MK31JiUk1YScFEbnhpLgDPjm6DKAe6x0YKYk2opKKmJiXihRmzQ4c5GwKeI93n\nhF0sDUPt0iPhVGaMNGePhFraKX9EQkD5WA95JwsiLKU01FIyl5IEy4KGHbE0KAtpOKHPRNoU+z2J\n+DLUpKJUBGoCr7VkSyy1Ch0REusp8DyvLTtWOWsskQRysbyuLcY25CLsOs+1b4lfu7YlkD2SiGeN\nYcu1XcUbDSSirEKb95Jbz25UswiGokp52F9wuslZeMtRUnFbxwRgENVcVzG1wG2RkjjfblloPU1L\nNWy7hloNlVGObKAWSEXvgq7gJ/9/8fi/X4npE7u9dv6PdvBbjwFFRFDnsKsbQjZCfIlLDtBQYLqP\nMdUKIaDlBBP1Wj2HBkQUIzlmdY76DWX1jig5bte15TW1n+F8u641EmNsjjU5VXNJvPNT/Oo1Gkqs\nzZmXXwIBg6PWFf34IUXzjsS2bM609wNCPUG1wtYb1s0piR1R1ucADOL3UZdwW37OKHpCExbUrOm4\nFoupdEFMQmJ69N09UrvF3J/jw5yL8C1Dc4BqRcds44gx4jiO/4AsOF6Gv2OPfRqtWcsSh2GtSwyG\nkg3H8oAhuwStGZp9CjasdcqCOQMZkUhCJB0metFqfWhzaA/kBPBYhJwOQ+0SS8JYJmyxxZQpM1kh\nojQE3sgcpWGbLisKEqLWZZ2CZ3KFwzCUIdeM2aaLp+G5LDjUjCO6LKSipzHnMqOrEe9kQwBSLENN\nsRhOKdmXmGsq9kn4S10ywrBPRkZMbjzPgudILEeaEyRwoZ6awIWCoHxEhyspeV7GnEQtN2MZDO85\nZamwQbkJ7biwa+FWYa3CNZ5dq7yrXaswEmVcxRzGDRXCuI4YWI8CR0nJZ9MhH/YXqFEWwZFZz15U\nc9nEdKOGSZXwYWfFm1WHk7RkrcKiiejbhlmwbLxlK6o5f1nTHVrSO6vESOABXXLyf/BM/U5gHqkZ\nYSQjhA1JtI/YlOL+LnY9o8l72PWUpn+IXd20s3/wmGhEWJ9CPER9jTU5YAjNEozDRzmoB1Uk3Sfv\n/B6+fNe+joZ4aoLWd9RxxbohGjak6ftEyykNBUUYg8Q4EjrRAxIzZNT9I4JAJF3K5paFv2C1+AXW\nDSnqd4RQtKpdiYntiH78IV4LQr3AimPu/94M6IRJ/Q11WAJKHB2gWrP21yCOZbjhXXjJkD1KXdA3\n+xhxOJMTCBhx3OgFh5xwpe8oWWNVEHFsmQOG9h5dGaAIZ/qcKy6YhHO6MqCh5lDuM9ZrJnrLVC9+\n07VUUjGULQqWAJzJFUsWjGXCFWMqlEvGjBi0QKwsGGqH47uuIsJxT/cwGI7DDmeyoKOGDjEveHtn\nclxzypo9TahRrmXNjJql1HwS7pMTESFkWHY0442ssGL4Q3bZ0h5tCXWkwEgsp7LCYdmgjMTwWj1/\nHpYt4xchE+FPpEeC8E42xAJbrg3JrhSc8cw00BGYhlYte2gDnsAjCzWCV8GhRKJkJpCJshu1xtIx\nihOYBMuBgWkwfG84YxHa7BkrgRhlFgyrImFkPXVj+XaT0U9KTuuYJhiOk4LqDmy1d8rbm/URKkrQ\n9n0UCv+DfPFbO4vfueLR+lM0WJOjGIiHpKe3+HxEcFFLKV9cAKF1AMt3CekQkx6Cy1DdtECraUFX\nTbYIm3Pq+pLgl+3mRAFtCPWEYvVFmy9m8zZxzo2QlipKaMaQ7pBF98mj+7+hnSMRSXyfYvU5Lt6n\noWKl10zDBd3uT5Bkh638pyTpQwyChoLKz2iaMXF8D7TEYMjNLt3oIZWfMIreY6MzhvY95uXXrMOE\nzGwzLn9NISUDGTKIHtEzR6R2u819sTsk0mFWfsVcb9oEOVK6MsJJjGrDWmfMwjkWx1on9BkwYosL\nucJrSUzClZ5hEGoqHA4Q3nFGTc1Er9nokmuu2NUBx/KIRzwCAgtZc82C53LGoW7T14RGPEHaRPqa\nip+Z5xTUvDbXfBgOeCkrGpq7lW+HuawZiuN9PeRS1myo6eFYUfMX5lsW0krTOxjeypJaYU7BM7nl\nUqZc0DCl4j3jaGh9Nf5Cb6gIfCwZ96WNf/zae9I7zcobWfJAYqYa6NzhElYCy2A4FsOtCpcB7lnl\nwLRh1S+rBK+G7O731io8cu025aZxvGsch2JITKDvalRhx3Dn3C4UwbDxlswEymDYcw29tOC0TMjj\nmtR63k8LurahZz2ellFqAbkL1d77YErQ1oltfef1sVD9rR3F79TYIhhSO/oNt8PYDvreB7AsseUS\nt7hF4x5Sr8CmsDxFmwW2bIleEirC6Akap+ArmuIMa7s4N8Rmx/jyCpfso8bgqxtsvE3wSyK3TQhr\nPDUu3kHTrfYe0uoZV8UXLJu34Dek8TG1n+H9tDXzCStiMyB1e+wk36OqzqBZcVv+klflz7iX/Ys2\nsiEscSanacYEGpzEBC2JpEvAs/RXKA3X+oaNzu+6CxCJGciIdZhhNLDSazKzzcS/og5zQEjcNokK\nQ9NaCL7T1+zZxyzCNU5izjjDKuyaRxgMXmqsGhyWLXOCVaWkJCHmjVwwpMeO7LNiSS5dcnqsWBER\nMWPCXKac6Am5WjKJEZQgnoaGgfa4khkWYUdHdLFsa583MiHD0CemkoaMlJcyZV87jMj51FxgMZxo\nHy+BK2r6RPSwPNVjlMBcShpR7mufGymoCdwnY0JDiTLGM1XlAxMRNKKUmhiHNZ6+GF4H5XsmYxLg\n9V1my7HEqChdMdzS5qnEAn3Thj+9rWK2bBte3ZM27S0TuPKOj6zjRWPZj2r2nfKsabuLvsDAwKmH\nRTBc1xH3k5pChUmVkLuWhepMa7j8KKl4VyVkruHNqsNB1LTGQK4hNooKrIIjFmWyyNlOqzZYivaA\n/4h7yD/QJ/wHP7bE0kW1Ifh1y6WwKYuTIWodTWeI7+4gmyvAUG4fAQFre6hfo3EPzXaxyxvM7VeY\ncgH3/xTxFX5zDr7CuR6IhWZF1P0AtEFpUNuOFklyn6a6ZDP9Oao1Njkk+Dn9/A/YHfwZ4KnrK9L0\nIYKQJ++Txo9QrXCSoqFhWb1kXn51t+VICaHESEQWHVLqgiQ5odYNmdsDApvmjDpMiUkYukfsmgfs\nmHukdkhDoAltXGRuBnhtaNRThQUGQypdMjNi3bxjzBUAtdZss4tqTUWFErjPfXLpstRbSl2jquzJ\nCYHAdXjJhhUzmRNQHugRgrQsWN0i0YQ5E47lAe/kmpksWLC+2+SkxOroakqqCff1hInM2dKcJQVv\n5ZoLmfNObtnXnF/KmImsWVKzkYI9TVlISUFNF8OJ5uRECPB93aKP4YqSJUsuZc2CgAAXsmSpgQDE\n6lCUEt/60yp8oxVeKgywoWYXR4Hnqo75WjeIBALKnkQttiPKhQbeM61/aSxKAvzIRIziin1x7Isj\nwbBv2tGjUfhZHdiKWgLir1YZfxgJ52WKE+WzdcrQtjENifVcNm3eSz+uWAdLZj1FMCyqmJ4Ih+mG\n58suAhjjAaVR4aaOMEDlLc4ENGqxFAM0dyZE/6X+/LdyHr9TxcNKjIjF2gwxEcQ98s9uUWOxmzlw\nRwOKMuLJJXTuQ6ja6MhsBKsz1CWojanrS+LLr/H1FNN9jJoYSfbwq2/bm/mKqrnCxYeY4FHrCM0c\nmxzhJMbYVoznBp9Q1e+YLv6aLH6MNTmb1eesmnM21WtUBH8n8JqWn2FNylLH9JKPuB/9AT4s2dTn\n6F17Od981krw63Mye0Ti9ujFT1EafFiDNmx0Bghz/5bUbtFoSUKHSkoSSViFmxYE1RXrMKamZMAO\nmzAlkz5GLGud0pet39gwDs0JPdmhkoolC644pZ3kFU/DUPusZEUqOZl0mTJhLLfMmbVWhXrOfT2m\noyl7uoNvkSBqKSmk4lLGnMslNZ5rVnfRARYULIaUmKd0iLBYoNZAJJY5DS9lwRPd40LWgKWjOeey\nINaIjkb8Qq55d2eCbGnjDGo1LAn8mhXHpDzUnEIhFkOOwaplR1MiHHMCLxrLUVQxDYYNykemBVsH\nmpGpMNeWLj4NbXTDi8bw143n0MAXPvB5rZyF9msRLIkJZLbhtMiYB8vHnRVjGvaTgmkQOq7hTZmQ\n2QYTDNmdCK4KFieBrlFUDV6Ub2rDdRXzSXdFL6m4bRxBDfVdpm0AjpKCzAS6SUUBFIATpQaCNL+V\n8/idKh4AQsvvENOh6WxjyzV29gaMQ8oFoGiUt1J8l7aq2u59zPgr8A3SlEg0xNn+ney+QUIDmzMI\nNSY5ACD4FaIW5waI7eCki8nv48tzougAbEq1fo7OnuPMANUSCDR+Rtb5HsPsx63rVz3GmS51fUti\nttiEGV2zQ6BGgbW/oJu+j1KTm33Ak5khF+FbvK7R0LCqXuIkJRDouGO23dM2bgHDojlHxFHqAktC\nbnbp2QNG0Yd3M+8VMQldaUOWrET0zRGxdKl0w0bXCMI6XLcrWY2ppCZSh6EdXTLpEZNQ03DJOZe0\n2MkDecpM5q3YD8OZXDCTNQPZIpaUtawpqXkpU3Z1SF8z+uQ8ZJceCT1SPtAjHBEdTdnRHh+GIzoa\nEdFyOz7QLY60w3O54kg7/ELOOZU5CxqWUvJjfcxH2uOPwxEnRMQII035fcl5oh1qPF+w4kw2fCzZ\nHa27TV/7G10xpLV+/F6kPLaWHQPHYnmhNV4NCynYSCAXYUKDAZ4Fz1Ba1eulF1YKH7i26EwaRxWE\nJ1FgXCY8TjcYUQZiuA7tgZt5y57z9KOaZePIoprbOsIolMHggGfLLpFp5RVr7xhENdMg1EGYVjFG\nlGkd0wSLvwNbb+uIyATGG4elLSoRreIW/umxj+9M8YgkxUpC5Lbbp6WN6f7ZCSHJ0HQbKebYqiBk\nO4hv0CjHbK4hHgAGTALdY0CReoG4PvTaFa+qb18Ds9XftH/fr4k774N6RCwaShTFxLssy2/Qeoo1\neas5qS/IzC7SfUgc7RPqMSbdpdY1SExAqcOMpT9nYI/px+9T11dUYU6jZTubdt/Hpa2DmdeKR/E/\npwqLloIuFis5F/4ZVZjTOqYNyGXElnuCxTHXW6wG3oVnnDW/5kX1b8jcIUM5xElKobM7sDMwD+fM\n9JKhOebYfY9E+ijKSqecyTmJRpSUlBSMzCFb5h4rVqQas8cBotDQcBa+JdOUA3lIQsIjfcADPeId\nb7ll2oK+ZPwgnDCWBRNZkGjCNVPeyYKSkldyCXgiHF3t8UoueaT3WElJo8qFzNnVPidhm29kziy0\nzlnv64AtzfjfzbckOK5kTkYbwP1altxIwTsp+Jd6wId0MAgtTKqMpM1q+YnpMqamQkkRPtQB36PL\na614LJaawOehwqkBAn0xVCr8vkk484Y+BgUObCC5S7EPGLajhkoDznpuvGVkPM8aYeottRpu1znH\nLpCK8jQtiUTZ1BELNTxNC9bBcpyvmFcxxijHSUHXKNdlwqJM+EFng0VJjGcvKdgEgxFl00Rkolyt\nhnha1W9JC8p+ydt/8jP5nQFME9Nrn+TatMSweIsi5PhNjQmAjVGxLTBat+FNmm0jTYHUSzbrz3Dd\nx6ABv3mLZAdsbv8XYrfVrmO1YLX8lMhkFNUpsdsnNDNEQaIBvpliowGhuCCJ7+ObG2y8RVVfEKcP\nMCZBy0uq+oo4OmCy/DfEZETZfYy21kD99GPAE8KaQCCPTxD1VH6CbSoIJVVzgzEJhLrV3WhDI4HY\n5CTqSOyQoBs2zSUzbQVyWfKQ6+YZuRndRRY+YKljRvaYShdE0iW3e6zDDTUFBstS5zikFfnRtAxS\nadjnHhZpuxx6OIl5E77C05CQsJbVb7qKjVQMGTCWCSuZtwdU2hzbmazpa04QZSILPMpQuyxkRUKC\nQ1hKSRAlJaKQkpvfaGGmjDSnEc+u9ljJhkYarMBjcq6kQDGspSIQqMTzWgrG6iklcEJGqoZPQ0Ns\nNyhtUluGo7wbIguUF1pxo8qJWALCC1kRiTIPBjWBjIiHxtFI4CwIuYFIlAsaDly70bAi9AzM1SMC\nl7Xjh5FwS8sJ2XdtNm4kSnr3qB7EFbdBaFT4dp3TCDxOS4zCStp7OFHmTUTlHYdxzdfLLpsiIU9L\ndqOGrvOUKtzWCakNv3Fcn9UR+90l6Z13qkgL4L5i+v9oEvQfNGBqSWj8AmtbdqnGHcJtQ7ScISHA\n6oz1vQeAIeTbaLoFwbcRktkWWXwfU65Q1zqjS7Ug7/0BdB+iNsI0JZ34EVnymO72n4IYpHMP8iOo\nZwS/QMtbaj9GQ2u2IrbTyvRFmJdfYmyfODmBZMQo/48Y++esl79EXOcO7Q54v0A10IrXFWe65NEJ\nRhxVc40hotQVja6pdYW1PWb1C1bNOVYS1s0lhR+Tm23aD2WXTfmKPTmmb0/I6DP2r+jLsO2aFFbh\nktKP2baPyGXAVG84th/QtydUrClYstEFha5JzZA5UzIyIklZ6oSEhJwOO3LIUEeIKk4tO2xzJTds\ndElf+9zKhD3d4VAPONAR2+xyLTP2dJst7VJJRUdTVlLQI8GoMNKce3rAjRQkOD4JDxneAaUvWfOl\n3HAja25lw7ZmfCZztom5kRVPwyFdIjKNOCbhnkTsErOnPf5KC/7IJrzUmkhhh5hIhRS549QqiSiP\njHCuDTfa4FF+1jQ8MRGnIfBSK/42lCy1zVe5DG2HMhJhEloS1jwI39Zt1koRDO+nBWdBuWoM91xD\nIoHrxhJjuKwdmQqTxvF9ZxFRnuZrEgm8uougjKSV79/WEYdpwSfdJS+rmHURczycs5cWfF1GnNWO\nwjuGUUViWg1LxwS244pl4/AqpNLySlbaiuX+qa/vSPFonxwu2Ue1QmyHeriFNBWIoxxuYXDkZ6+R\n4pa6O0TjDr67jaqHzSWS7kOoMOvru2Q4RaMu4kukvG2pHdqAyzFBWZfPIBogxQ2NXxBnjyHqE3c/\nZl29pAoLfDNnVX5LKNqxRUOFhJKmOOOL1X/NXvwjovQRvrxCJCYIWDskSR7iqZiVn+PcFt4v8WED\nInSyj3DaAppr/45Z9QVOMrrxY1r1SkVs+tyElwzMHptwjZOc2AxY+3dYk5NKn47sUIcVmd0lli6F\nzpmHc9Y6JyVlFW6Y+TfEklNpyY65Ty49xv41mXSoqDDi6MsunkBKxo2+o6Tgndzy0lyDtrqhlJiG\nhvf5mFIq6rttw41c09eURiq8eAoarmXGRttYyl16rCk5l0tKai5Y87U5ZS4VXU14TIf7dLmnA7Y0\n4UrWHGpMA/SJeWtuGWhKJEJOhEdRFX4tNxwZ4Svd8EeMOGYLBc6kZKpQo2xU6NB6eXwsXZzATRD2\nbeAz1i2Bv4k5MsJjSXnkAos6oiYQ7hy7XlQxv2cjuiYQAc8WHXoibPA8cC3Aet44isZhxdN1DTuu\npaa/CA1NMNx4SyxKbjyvqwgLxK6hawLTxnFaRcQmsNNdkRnPomm3TV0TGEQVV5ucXetBhXkwzH1L\nH3gz79IA1T+4pP13v74TxSOWTuuSFbjbckT0//U2tlihLiaejcFXmGKKHz4kmt+2JLAYTKxHAAAg\nAElEQVR6jXYO26zY7YeEuEu5+QYtb/A77yP1HHyN2hTjethoi+BX4Dc4yTCLt220QnKAr26gmlEt\nPm+tBaNDaNak0qfyE5LkBDCISanKU57Gf8qyeYtT2+4rwhR8TeOnVNUpojBIfw/fTDAmw5oupZ8w\nWf8CI45R9D59+wAr2Z3+xFKF9n7rcMO++x4RKYUuWIZ37XijG1bhAocldbutUY8/ZRzekkiPlc6I\niEmly9A+JKjHqGPPvsdX+invOGNo7iEqFGwQNVyHNxRS0NoDK1dywx4jjnXIhdxyoHtYHDNZMNFL\nbrhlojdsMyC722acy5hAoKSiS8pD3WVfe4xlhUcpaTjQDofkbGnGipqNVByEAWttAde5VLzTmgcM\nybHECHMKDMIpa85YkeNY49kmpiTwlIwuKb+WS3KNeEBCooYBhplyN77AmorozhVGUUYYnhjLXDy3\nGvg/fUmOYK1nWyy1tHhFJIErrdk2cBng+4M5LxvDIhie1ZY1igh8mBWtvlWFUlvAtAmWiXeMrEdF\nWTYR1rTjBypclglVsMyKlNw2xM5zW8XYu02SFWXVOMrakQh4hEWVYO+Mga4/jWhUaLQFTlMRvuX5\nP+m5/P9SPIbAfwt8CXwB/BTYAv4c+Ab4n+5+5++v/wJ4BnwF/Kf/mBsltjU5hoBEA4g6rP6bM9RF\n+DRtWaf5Ds3wHqaYI80Gu7zELm+RZo3EI6LxG2R9SZI9gXwffIO6Dr6zQ7N+BRpQaVdfvrggyZ7Q\nNGPwdbt5yVtzG2f7xG4Lk+xS1G8RcaTDP6Qs3xCkaTczbsiifo7FUlSnGJMCEUE3bdEBItNvvUhM\nhmqFDwsSM6IbneBMn2XzhjrM6LgTYmnNnTO3xzq0JLJVc47YHpF0GEYfENsRgcDIPsZJzKo5p9GC\nzOyQSY9X4XMcEaUuWbJh0rwkM30aSt75r0k0Zkd3uArPsWLZSEWbdSbkmrGQBT0GZCR4DZzwkC0d\nIBj25R7buoWn4UgP2GLEiiUXckNXeyQaERFzoNtcyxJBqPDEaumSMpOCmRQYDLd3LmLb/xd3bxIj\nW7alaX1r730a68377t6490bEvdG8iBcvI7NeZhWUUBWFhEBKEBMQk2KIkBjDBMEEBEMmTJBANUBI\niAGipKQoqQRkFpnUU74uIl60t++8d+vttHsvBtviKbNAKOtlCIXySCZ3M7mZHZf7Wbb3Wv///Trg\nTGZYsYxJGGnGoSS8lBmtKm+HA3TzOnM893WEQzgk54qaDKFPxiMmGOBCCrqacCQZHc24Y4QMoVF4\nSMUQy5aBLoYlyhUtWzYwV2FklC3NGJjAF1551ho6CM4oU43pb30RKo2TkK5A4xNOrDIynh1JqTcp\n9z9Z9vkgCbzt4K20wgKXZYfttGJaZVyVOV3X4kQ5SivuDBZcVRld41k2KaW3lI3jvM5AlPe2JnxR\n5iQSZWGX6y5GlJMfFlRsLPrAWpV/wtk/80X+/3X8ZYrHfwn8AfAe8ENiUfgPicXjAfCPNvcB3gf+\nzc3Xfxn4r/5Z3lu1RXCs/BlaT1Gb4dMOiCGZXiC+odq5hbt5giYd2sF+dMvayID0foqGBvq3aKtz\ndPkCe/UlFBdUV3+EG/6A0EzAF7TVKU17DflejK10ORoqqtlPiQkxLVn3AZrv0Bv8GLUJs5t/SN59\nJ2a51JcYDD17m8wdkKe3aNpL0s5drHSo2wl1mODcKBYlSVFtUPUEWnwoWftTal3TaknQhpVOqcrH\ntGGJkZShvU3XHbBoH5OQclb/HB9Kchkx989J7A6zcEarJUoDquzIPg01FRXH9h08LaiJql26HMtt\nBrJFRk6hK4baw5qUQECwHHGbkpId9vHScq6vyEnpy5AXPCGjQ0NDVwZMmTOUbQRDQUGPFKuGuSx4\nJ9zavOa3+Go41CFHOmJLh5EFQsMLmZDhMArbOuS5LBF0s/WpeWYuOdAuOSm/q3s8ZcUTCk5lxds6\n5D0dspQSK4piWeOZSWwKv5I1Y1LmBFqUN0i5oOUN4ie3JTpSe6L8tkm4DvArrdkx8JFJ+G0nPG0c\nR7bFq/DXTYdso5gZpzXb1jNMKk69IcPwhW/pSFxxfNRfcqPKp22gBs5aR2pbbrvAre6avaxiP2nI\nnefhfMB1nbGuMhbecthZ49soKtONr6VVQ1EnGFGMQDeNxDM7aH/9e6yJI9u1fLd8j9+0eIyAvwn8\nN5v7LTADfh/4e5vH/h7wr2++/9eA/x5ogKfAQ+AvDCs1kmFNj545AklpRweYOmIGNetjyhukmccm\nqXqS6St8PkTTHG3X4AM0M9RXuPwExu9GiJCxdLO3YvM1rKH3Bi7ZxbhB1IdIRluegq9J09tIuo2R\nlHr1FevLf4C2c4wdMcw/QNsl3extrBvG87Ud0vw2SIoxA8QXFPVTsvSE1GzTtnPK9pSgJWV7ThtW\nXLUPKfwlXbPPXvoj+skdivYVu+4BSXab5/5XdMwubVgzbZ/gUXK7y9icUIc5l+EZjpxp+4iB2UNR\nzv1jjBh6sosnkEmHa/81FSU1BZ6GntkiOoYanGQMZIseQxotaKjpkNPQUlGy0gVWDdvsktJhqleA\ncs0FU1kw1wkJFtRzSw/52lww1jGPzBkK3MiUiSyoiEaxfd0h0wQgFhW17GufIx3gMFTSsmDFD/Uw\njlk15x0dUtDyVOa8khkvZc4JOVtYUMdDmVNJi2A4p6aiZaKx57Kk4bd1h6DCUuGWWPa0wx3NGWpO\nocJahbOg3JGUDMMiWE4MDLE8o+KZtpy4gKrltoVnlHxRJ2xttB9n3nBoPfMgvG6j3+V54/hbqVAr\nrIDLMufGRzHZtMz5o4stbovlbN3loswYuoaD/op5kXHYX2JUWHvHSW/NvU4BKOtgKYNw2F1zU+Yg\nyiCpowpV9NcisvpbMdl3LPX4TYvHPeAS+G+BnwH/NdADDoBvY6vON/cBjuHPDZpfAid/0TdTDYhJ\nMMkASQf0PhoSshwJHkILJiOdL/F5D1Mt8OUr7OQRalPwJSbbJWy/i9RzUMVUUwRL6B1Tl88wqwtq\nP8F3R/h2hgkgbcwvVa0JSQdjM4rlL3Buh4DSH/weiMFXr/B+QlO9inoR28Pkx9jOHVbll4R2ht2Q\nxjAJYjMSF1kbABpqOukbFGHCrn2Trt2j1YJp/RVFe0pmdlj5M0J9zR37AVWY0O/9iIQMEK6bryMr\n1aR06JKYLjk9ijCloSSVHEPCSq/p0KXVGlWlx4i47rBcSlTnZtKn0jXXXFCwYhlu6DNgzZqcbMPh\niNmyZ3IeQ50QtnSLbdmlQ861TJjInIfybKNMzflaXhHDDGJ8RIviNiqBiUz53JxT0zKXZXS2ktLV\njKlUPAjHeOAx14y1w0tZ85XMGJNzWwdc0nJXd3giS17REsSzJJDgQJUTck5D4H2GTPF0cPycCYnE\nwnGF5w/DklPgtu5xIIapN0y85bFGyM+29XHroy2tCiMRblRJRTkN8U/5w6zl3FsS4gh2Fiy5KCPr\naYmS9U9Cw0qFzy62yUzgtlX6JpAnLe9uz7ii5XZ/yWHWMGsdqybh460Zqoald0BkgrwoOhRtQt+2\n0VvlLXXjqFu3ASTFInZVdIgh2/GYBBtXnN/R8ZvqPG4B/xHw7wL/MfAvElcSPwb+iz/zc//B5v6/\nQiwYn24e/31i/+OLf+p1/xNQfvH8Fb94/gqA21uHZHZnU00TJOnT3jlEzwpsMY36jrQHxoAKGEHK\na0y2E/UftDGDpZoRRm8QZp+jzTTySLt72KaCfJ8kOFh8gxGHp8T038LnObZu0eaGon5Gb/zP4asr\njAihXdE2lyRujO3eoa5ekCT7qC+py0dYSUnzu4TmGnE96vollhQrCVXzEghM2sf03C2W9SNqKeNM\nSWtWekOrJVvp+yz9azp2m28TSZ10CH6OwTFwx2R0WIYL+vaARDKCtgRqXvGSsURAUEdG9O0hs3DK\nQLaoKGipsWIJeAglLTUdGdJqyYF9C0+FxVJTMZARc43UMU/LjAVHm/gFt1FoNjSMGFFKQUXLke6y\nkCWpOg7ZoqGmqxk9coZ0aaQhnmmkfrV4nsmCO2xh1fLQXFChGFoupaCPwxPYp0MpDUsajECxeV5H\nY06s8K2yMi7jX1Ehoqyl4a4OQKJJ71RrjMSlcGICiQQ+44a+GBrTRsesWJb42OOwgQNxpJv3uG4T\n1HhaNTyrE7wEWmDbKgcClwrTJsOYQFfg0aLP73csp9oy6JYgcNk6HjhFbUMr8KzoUKqlQemawECU\nzAbuWvhy2aVqHcedgiAxqzcxgZ4JlGrIkpa9rGLWphymNQ3CR1lgER09GInbsDvs0iPjF89e8g8+\n/eLX19ovn7+G/590Hi83t28DIv5H4GPgDDjcPHYEGzcWvAJu/5nn39o89v84/p2/+bu/vv3ozi0y\nM8aHFSIJYjsgCUlbg0gkghXXmPlT1Bf4Tg9TzGD8LhgL2gIGbVf43j5meUETZuB6BGeR9Q1tOycs\nvgSXYd0eIHHiMvsSV6y4Ln+GS/fodT/EV+fYZIztP8D7GVWYgOkQitdxx6sRGJQmR7T1NaE6p/UL\n1JfM/SnOjmjaKWGzP952byMIxqQIllZrjHTjJSkx4HoZLqioWflTyjCl1gVtiHELRXuGisWKw2sF\nCl4rbrjkgfkYZ7qbkWtK4S8Zm0NKVgxln0xygrZYkujgRZmFM3pmi4l/RaM1uQxwOLxGn8prucRi\nySXluZzS0FCwpqDkVM45lzP2dI93eEBLy5qKIT1mUnBbDynE04pnKms6ZAyJ8nGLYUCHH+kxV7Jg\nJSX72ufDcEQtnnf1kMeyZoJnJhUH2sPheKY193SAAkEUBzzQAW+QMSBhhccQG6MHmvOcgs+1xGK4\nDgYP/FDHeIRjcsZieB2UtyRhrkoNLDWwDhavcKAdlmwwSMbz6WSLzATuZCV9E1gGSxHgy9awaB3b\nScOqdbQq3Oqt+amuOTGW+xYqH2XlX7XRvDY2ynbSbFLnhFnruPSWL1ddPm0MiWsJGlGHqShNMPRM\nYOYt6zrFmQhFbkIkxNfB8LmP3hYj8Zwthp8S+R4/unPrz11rv8nxmxaPM+AFsTEK8HeAXwF/H/i7\nm8f+LvA/bb7/n4F/C0iJW577wE/+QicoKSIJqm1seoph/WVFcAkqFnVdSMYYtbj1AozDlBO0noA4\ncF3a7dvYYoJfP6Ez/DFV8xpRCyaJMJ7xh3ElgmK7d2LWixvQrh+zk39EaCaEZoJNdvB+iTQRsjzo\n/Ra4HDFdDJamOcNk+9GNqw3eL2l1TVG/YGB2Ua1pwpRudp/U7VPrHPDMwjkjc0jfHuAko28P6Zlt\n0vSEsTkiUwMKs3CJ1worGU1Y0GhJ0BJLSqtr1jrBiOOW+QGVzmjDOoZ+6xwFKl0yNicUzFnqghh1\nKnQYULBibI5Y6wzFU20oYpn0+Eoe0dASqeiWOQVLKUjIWEvBWtZkpAx1xII5T3nMTJbc0zeYy5IJ\ncy7kipKGkopt7W8Mdw05jj0d0dGMkgpVpaHllcxZS8kZBSUlCryv2zympJaWfc1IRZlJyce6xTu6\nzS3t8odMaQjMqejhKAkYhLU0HJEwFmGI22gzDL+SKW+RcEnJCEcrnmtVnlY5BYF36NGzLbnAnxK9\nU9dB2TPC727fMAvCWg2nrWVRJzxvUqwoH2YNqfG8nVW8qFNWwRBEuVbPT8qUA+txNmbSbhvlq6JD\npcLpdMhR0tJzLcOkoWkdAdjJavZ7a5Tolt3NKq6ahMtlH2c9q9bRl6j9OG8SvApds3EZ1ymx2R+Y\nSP0bXvL/L9fmX+K5/z7w3wG/JE5b/lPgPwf+JeKo9m9v7kMc5f4Pm6//C/Dv8Rd06gStY48AQUxO\ncDkYiy1W1Nt7m96Bp9o6RIobaJcogtcyFpxsiLv8Mo5zfY02CxIZbAjqDtu7g04/Q11Gs/8uIetH\nI1v1EsFwWfwJxo0io2P9HN19H8SRdO/i69jeqeuXlGGCAsvFP4mrABEaP6GbvUlqhzgzoPDnOOkS\n/Jy2vSGRHqfVT9mSI27CS7xG8XTqdvFa87L432ImihmAOEbmAK8eYwcUusCZAZfhOeuNy9ZgOA/P\nWOg1npae2aWioAxzvLQM7S0u/RMsJvJQ9Ya1LrjUl2zJLq1WNBsa/UwW1NSUrBluIMkWoWBFn5wH\neodrLoHoir3FbZayBIRtHTPWIZ+YrzFqOWRro8kIcXtiLsg1ZU5FQFhJSSIpJ3rCIdvcSMVAO0xY\nkSMElH8h3OGZmfKhDrHqGGmPt7TPm2GXP+EGT0sQ5UAMY83oakZByz1yxjgWeBKx3NchX2nJWuFF\nCByQ8GVoOA/KLe1zLI4ggQ/ziougvJQ1952SYjgQyx6OW8ZSS8tchbed8iOTctcFHvRW3E5qVIWp\nQhd43iTczQv2kxanMVpyJ2lYinKYNBw6zzdVyvudiFL8aPeGF2XGPRfiJ+1ggQCtwk2VsW1ChACp\n0AbDR1tT7uUlfReZqE0wXNcpdTAsfdTSVk0UlpXAzXfYNP3LFI9fAn8N+Aj4N4jTlhviKuQBUcsx\n/TM//58BbwPvAv/rX/gEJcX7dVx9hApcimlqJATcchZDm3yFK9eIrwn9Y6Se4ZJ9Qm8HM38BkqLV\nJdaNkGwMux/iezuwfkm9+pqqOcUvHqJJjs6+xNkxidtFUfrmiFqXZPkdbPcubnHNbP6HaDXBhwrN\nRkAgNUOmzVfk7hA3fB8f1ljTY9U8w4eS2k/j2FhrGj/B5reY+ZdsuTukyT5dGSNYrKSU/obUjnlj\n8PsM7BG1n/I6fB3FcighrBm6uxhtyck4Sn+brjsh0HJg7rAKl3ganvhPmMuCNSuqsIgqViLTY2j2\nSUlRAluyz5d8w0qneFpyuox0yLXcELTFE1jIinu8xUi2yTTliiu6dKP5TXuc6WsKKq5lxpKCC7nh\nnfAGDonpdaQMycnJcCp8bc64kILXsqSg5pQJf2x+RUXFnJr7ekSGI8FyKgteyzUtnj4pT2TOU3PN\nZzLnudzwpqQspeIRK97TKC26lDVv6njTFI6S9C91xRcy40P6PDAuRkiidET5sfS5lDX3dchKA2cB\nxgY+aQyCcBMC1+pZEbhSTybR8n4e4P+oPV6UPhEXeJJ4FOVZk3LgfPQQAZNgOHCBUuHFzZCexMnO\nOGl4WKUMrScBEPhFkTPzlkeLAYH4Xr2kZbXZbj2eDjnKS57XKdfeMqtTCu8YuJbExGG4AJUKx911\nvJYA9x26a7/3ClMjCdb244Vv0ig9/xZ0XCwJ+TYAtphFkI8Ygl9GMNDyHA012j9Bx28DHp/3cA3Y\nYopv5yTJPnlyjBn/ALuaY7KDSPMav4VLduh2fkBmthAM9eJTIJC6PURsVGgWV1y10e06Tt7B9h+g\ny6dc+cc0/oZcxuSd+2Ruh0YLMreLwaFVxPc99b8ksWPqMCVoTeEv6NgDVBvmy59w3XxFoKXPAK8l\nAKv2lEX7FCMZla6pwg3z5iEBxUmHPXsPwXAkd6KUWYb0zS7X4QVjc4gI+FDgN/9i57zkUHeoKLEk\nKIGEhJ52UJS3eJdDPWCpM1Y6p5SSkQ4YyS5romktkYQD3SHF8cRc0hK4kQk1LQspvkXxoAoZjju6\nzYF26GGYScmhjtjXLi2ed3SLr8wLEhwdtViEZnO2DYEf6i4B+ECjE1oRPmXJNo4LKbAIl6qcs+Sp\nllgsx5rTirKNw4mwJkrKZ9ryI4b8X7rkSy35VKZkIrxpDE8axzuJ5772ODGOsThaor2+URAV2iBs\nOU8XocLzg+6a88YxFiEFZho1FinKwLbcBDi0ntvbM74sMyxKT6CzyW9pgNR6EuOZFB12u2s6JrDy\nFq9CSeyXGKMMiXDl18s+u3mJlUBfFGNiT8Sr0FwNURWKze279Lh8z4uHIJKBelQDJAPq7QHSVEhT\n0PbGIALpgHrrkHZ4gF5/gozuI22LURCbRm9LXWCSbcz8FWotajs4t4Mai9gB0qyR2des5n+K9E7Q\ndgkmgTySzX1zQ5rfRkXo5PcBT6f/IYvVz9hx79Cxe1jJCMtH1O0VJ8N/lUk4wyV7NNUrkCTySvGU\n4RLFs2tuc9/984jJ2U7fp5OckMqQOkxYhXMm4RUds0UiHbbNLW70lIG7w0TPGLk3CbTsmjsYLIpw\nTeSOzsIpS52R221uyX2c5NQag6vXOgFgpldk5CCGjsbGakLKljmmpOTEfchMVrQ0PNeHXMo1Z3JF\nLrG/02fAUm/ISFlSMNQhCxZcyIKPw1vc0gMqWkpp2NEttumzpmJmVsw33NFdHTLWnPt6i6fmgrEO\naAmsadjXEeeyJAjkaumTcUnFjZScy5I3dMSNlFxJxYrA+/S4q0POqXgpK3bFsJSWFGGklk9lxZGm\nCIYbCpYod7XP29LhSkreNo4fMqRU5YiE1+q5k7QUCl/Kgpfa8swHaoUlgR0x7BroG3ha5nzVRDUu\nGBoJeIV7acW6jfLxoIbHRYeuCWyb2I+4lZVctY6r1sbxbp1y1iR4H1mnO901XVEWrSOosJ1WUUvi\nPLv9FS+aBO9ttP4XHQQ4bR1WAqqwDpa97YRElIRozf8ubfTf6+IhCD6sYoCyxFM9/JsJ6hJM0xCy\nHFNOkXpJevOatj9G0i1QwazOUNfFV5do/zYUm7gAN0C8R9oCPzjG+BbJttB6QqgnJKYH4/vY9Qzf\nLpFmSbLz12MMAxKfV53D+EPmiz/GSE42+IBF+wIzepemvcLZEVpecpB8gGr7ZxioAQ0NqRkRQkVu\n92l1TVufsqgfx6Wu/yVpskcRFozNIV4rLtovMeI4ch9w1n7KifuQ2k8p/A2FThEML3nCHoe8Ct9g\n1HDLfUQdZiQkZPSjQIwcr54d+zYBHwE/WuJIuCV3KVhxGh7hMEz8U7Z1SJ8hORkHHDLSLhO9Yah9\nnGQYDAPtc6JHPJbnpGSMNGPJkmu5YVtHZCScyRVDHVKJ5144pqSloAGUQ93hkbwi05RWInFNUa4k\nIgMqWipp2dURb9HjlJJjHZJoyq522NKUGQ1j7VDSskvCBM8Sz4yWKZ5rKXmHDh0RPvEND7UhB/6Y\nGS+0JKDsasbPmdETwYWMkQiLAEuFlUJX4K6Fl63lwhsS4pTkwMBbecGO9ZszjwlzBcpZMDQaRf4J\ncDsvWTUJxUZj26iw61pGztOzHmcDmfX0XMukylg2Udbebl7jxAZeNjF8u2M9l+scZzwP+ktWqw6K\nMLQeVYMI5Mbz2c+vWasgm2zbQoVnPP9Ors/vNc8jlR5pfgsrOYhF0iGz+Ri3LlGbkMzO0bSL1HNC\n/wDTtLB6BZ29KE2HOE0B/NY9mpufYvt3AY+unkNxQaDBSIK2C0p/QWp3sOspqiuK5hQTPKZt0FDj\nm2t8e43NjzC+ItTXJHZEVT4hsUMSzXCjD7ic/UM0rMiTI67Kn+D9nDosGLjbNGGKNX2syWn8jDx7\ng1aU1s9I3BZDtlg3L+jZfTK3TwhremaPMsy4Dk/Ztw9wpkdiBjRhQSJDgpZ06ZCbMdvmmEQynOmx\n8KebOMqMx+FLuuTRb6NLCpZk0qEnQ66JKyFHQo8+c6ZMmdAzcasFypwpfQa0mw1EyQrBEAmjDQN6\nGIm6kD32EWAlq02/wWBFmLFihxHf9v7X0tBIy0oaVDxdMqayJichxTEkoxGPqONTc8mHepsxlmaz\nFWolsJKWY3pMpaASz1BT+mI4osOXoWZkhA6OGs8WGdZ4tsRwT4dUUmNFGGvCn2rBrrGcesHZmoxo\nPquJvhWrFr8Zef6OzXipLd80jjsWTgPsW3jWJNQIF2WHxsSc2p71TFWYq8ScHKKAqwiWSoUWofCW\naZ1xv1OSidIER4kwTGqqYLib1ZxXGQcbxGDhHVvO05qoZTktevR7BYkJXJc5J52C01WXYVbzb7/x\nA15wjkMwAk5iAuA9dv/chfdXjufRdUdoPYvtLpOABpLFElMVSPCEtEtwGZptY8oZIc1g6z6mWSPG\noUL0rIQWc/EzssEHtP1tqFeY7ACb7sTGav8IFFK7hXVbMb/Wl2R2hGqNhgYzuI9LdhDTQ/I9qtXX\nJHYH68Ykpk8nuU1oFywv/4Ce2WXY/R1M9y57nb9BZkbkZoRLdnB2jA9L5s0juoOPqaqnrMuvEAxX\n1S9w0iWRDhpqmuaSqV4wCa8odMqO3AKUdfuSL+t/RG62seKwklPoglT6gPBMvyKEEiuWLfsGC3/O\n+/Z3GJkDMjOKI1hyFjpBsAxkSE9G9GTInClK4FBOcKFlzZo9uUWQQE3FvhwxZsxKCuYyp88AARpp\n8BqFX//YfM5clvS1R645pzJnRcEt3eGlnJFg6WrOSLvMZc1AEzqaowSsCn4jiPtSJmxph1Yauhhe\nyTk3smJGRSkNV1T0sQzUIVi2tcMXEpUYj1jyt2TEO9ojELjG85w1ByTskPKVzDYtRcNMGpYqXITA\noVUqlAv1vK0djsRwE2BJy01Qfs90+FmIPZz305b/s4wgoakqI9dyZJX3uyUHruGicfy2Tdkz0QHb\noNxKGi695bxOaVQ4dp6DTerblhi+KboE4wmNIwWKJuHKG4ZZxStvOV93eTOv+GY+pNn0QVSUk7Ti\netXlncGCV2WOqmHRpPxB+ytqFYIoXYm/8USX38n1+b0uHohFxBHCKk5VxKJ1QG0SiebzZ3GbqS1S\nrwhZip2f4jtDpJwgGjMx1CVI7w0ESK4eUix+hrrYDGz27qM3n6DZiKq9jgWns8uyfUZRv8RIjkkG\nqLEElKo5pZn9AusG2HQHNQbnxpT1cy6rP6XRkk5+j6Z+RT3/BfPyk3hRmBhUZe0AwTFwd6lWnxMI\nJGYAKANzSMWcK/+EbvYmc71gW07okDNO3mStE27ap2Rm69cpbZkZ47Vmx73Fwr+iDBO22KTTyYgy\nTLDiuPJP8epZhjhevZQrMulGq582dMwWoFRSM2KLVmtAGLPNghsOOf61/2XCDWdQwwsAACAASURB\nVH3t4nB8Y55zLVMqqs16wfC2bvGA9yikZClrPgh36GmHUzOhS4ZHmMiSa5lzK+ziMDTUPJfIZbXA\npaz4QPdwOEaa8+Nwh10doChLaTmjoodlX2M0ptO4xRliOafmrvZ5TMljWXGlnj0sfQwVyjdasiZQ\nEdjF4TB8aBPe2mS1vKl9zlrHr1jzOijvmISxGKbB8I91yYcmBk1VCodJw/smCroaNbQbdeiFtxym\nNWti36VvPZMqY08MHzvBmcDlussXZc7jOuUgL3hUGwau4Wrd5d5gwUqFQdowq1MOk4brMic3gT+9\n3OHecE5ZpVwt+hznBRMfV9iXrQNgu7um6xpalW+dEJSbLJcbWX8nl+f3unh4vwQBMf2YdJ/kmLaB\nEGKaW+cQW8w3dPQh+cvPCN197OwlaKDZOsYkY0w5gxAI5RWIwZmIsA9+hbv4DN0g/0QFT4OpVwyz\n96NBbu9jQjpAFs/xzSXd7jvYdJe2vUbxhHqGdg4RhJ3ujxl3P4bgSfrvsdYZifRJ3DY+lEi2S/AF\n1+03qJgY0i0OJzkWxyKck2hOQJlXXzC2d2koMCSs2zMsCV0ZM/FPEQwTPacJCzIzYunPAUPPHdOR\nIRf+MZXOOQ9PaLQmlRzw9GWbrozY1z32zVsM3V260ufSP6HVmn05YcI1XgJXcklDhVNHGpnjlLom\nzj+EN+QB74W36dEh03yzRbFs6xaf8RlbGjEBl3LNlUy5F454JTPWFBzrPgM6fG3O8ChLaXg3HLGU\nhoByL+zySCb0NMZDvpIrfiEXDDTDAQnCUDPmFDyUCbW0nEvBkxDoYGilZS4lH+gWM1W+0YbntJR4\ntjcs0vd0yBrPDQ0XoSUVZU8MY1LuJS07EhuVJYHrEBuXtQozWhJi1OShhZ+2HgcsvGEo0YjWM4Gp\nt/yshSCBjgkM05pPasunrbLlGkZ5ydC2vJM1XDUpiQ0EgfcHK+besutaLlZdTvKSy9bRSxpGWcWo\nv6ZUIUla2jaa6/q2BYWrdZfFukPXtRQ+FpJvTXKlxmjM78pb+73ueeR2DFg0FFg3gGxE2x8hweOW\nl0g1wQ/2MK0ndAYgGW0GRlNwKbZYENaPCXsfYBenaD6ONDHbRbMRxg1p109xbhuSHqG62Hhocvzg\nkLQuYX0WE+irU4zN0VBG+Xj3DrQFLtunXn0FCJYM72cY04FQkZsRiRtTNadUYYo0S3xYMs5/wKp+\nQur2CKFAbDfKvu02RhLQipXeYBCGyVvM/QtSOjjJudKX7Jg3iNlmdWSy0vIVn3Aod3HiqMIUsxkl\nj2SPIM1mIxDIpIfSUlPxDZ/T9dBQ0ZUhznSowoKGlhuZ0NceAxlTsMTj6cqAczllyIiCkivOWMqC\nvvYopcTh2JE9LIahDFgyxwC35Q5rljw2l7wTjnlirmFDIl9Lw0xqbuuIqayIQY9CLS0qASWwouK5\nrHhfd/haZhiEh6HlDcmoieHTAAWBO+QYUfqaIeK5kZIFyt9hn7EIzyg5JibXnUvFVJX9DeDnhQYU\nmEmJRbjSwIERnofYBD2wyq6FXRIu2cCNbSSrNwoj68kFLoOwVEMisG99XHkY4atljxrhJKvjBIbo\nrXle5hxnJddNwrTMaYxnaJWvJ2PeHM95vOjHkKysYu0tl/M+9/prrtuUYbfgpk7xIiyrjIP+CrXK\nqkkYJQ2ZjeP4zMSYy1WIvZzf/ad4pn/leh6CxdouxkQxkxqDBE/b66OuAzZHAlDdYKo1sngS81qq\nS6SpYP0aENzkGbgc9QWCoa3OIu9j9Qy7/UOUFm9i+JJNthGb4GbPkf6b2M5tjO3h0n0uq08ivAcf\naeqhAt+Q2DFZ/wegNT6sqdsLfDtD0m3q5oLERi2KGkeja6rmlMHob1A0z2nCAvUr5uE1PqxZ+peM\nkvscJD/EkVA2r8llSGa38LSMZBdP9PYYMrrukIWec6LH1LogS0+44SL2/cUz1WiFH8gOloxFuKIm\nxlke6C5XcsmUG2otWIQrWjxduhzrMSPGXHJGRQ2baU2ijolMKKnZ1h1qWmpajMYL+CUviJkxBZXU\nnMmCtS5QoK8p1zLllg6YScGUkhzLjnZYUJJiKaQhI4lbRDxLicDmAY6JrLmjPe7ogB+ZDq9lzbkU\nLGi4oaGHJRfY0py5lNzgGWvKsRguZcErCt7XAe1GczILwrFYVigPtMfv0KUrEAO7hWMSXnjoIgxE\nKCUwCfBaG26C8K4LVApPW8uxiyuNLoYG2NnERpZqOA/CXJXtvOS3uhVzb2kQDpyn8pbcthTe0raO\nvzaas9ooQveHC67rhDuDJevWcWigUcPeaMHjostOVjFwLXXrSCQwzEvqYKM/xlsqNVyU+a/FYo0K\nAxPDsL6L4/tdPCShbWfR6m5S1LioKv2W+NXbxi7PEddB2gowqMsJ9YwQ1rT1FSo2NkTFYElAW6wd\nYpenyOAtzPoK6Z5g1zek/XcJ9TXaruIUpo7Nt0gaq9lJ7hMIGLeNtiswcSUiIvjiGWiU038LM66L\nRyz8K6r2klH2Pln/B3jx3LSPMPWaS/+IUhcAdGWLWpeMkwfUUhFBOQkqSip9fFjTMTsISqEzEuni\nsCzal2yZW+yYO/TMHl+t/z5WDTGM+jAWoI3vZaYXdGUIqixZ0pchDRWNtAjCpVwxkwkgrJgzYxKD\nlehxLdec6wsGDBC1pOJYMEOAbdkjJ+WVXEbTGVe8kkvmFIjEcKeSmmspuJQVaxoMJkYlaGAhJWPt\nbf6pJTp948cFHrih4p1wQEcTlhtvRqqGH4ZDdkiZE/NNGgKpWj6XBVOUY1JOpQKEgWZsk3AtUWgX\nBWLCS20YYvgTVvycNdcKfSKw+EIaPrSWVgI94qj+0AgvA2yZwFt0KYEDF50/H1nHjQZmbUyPW7WO\np0VOAF7WCSdJAwQQ5bObER5l3Tq2Xct1k/J2b8WjKiWzgZFRLlY9RiZQBoNzMSqzYzwd6+m4hjJI\nFIP5uJrIkgZrPFWw9LKasnWkJiAb0+C3RUP12y7IX+74Xm9bnCRY08W5AWJzNIuAH59l2KoipBnG\nezTpgDZo9xDTVkj3IPJOVRCbIVhCdwdZvMBvvQXrl5jOMVpeUKy/IE2P8PV5HOtm25BHYK4OjqEt\nWFfPSNxuHOmqJ4QV6pcEvyBogctPCKHaiNlqEruLsV0Qx6DzARIaAjVV+YwqXIMIHbtHLj3qsKCf\nvMGkfYw1eaSkK6z8Bbndxtk+iqcIE27CC1I3JifDSsJ1eMVh9jFn7a9wktDogi1zwkqnJJLTULJi\nya4ck0iPrvRZ6YTI1rLMmHIkt0nU0jfbjBjR0x4FKy5lwhbbBAKFFFwwJ4hnn31K1mRk1FKzp7ss\nmbOUNR1SxjqKnBNaumQkWLw0BDzv610c8FxmHOmAS1nSISEnjwhHwEssGjsMUVpupGKPDgspUKCU\nloVUXNIgJiAoBuVMPTvieC0VmRpaCeQYUoTFRityV3dopeFrSvoYuljekJyXVLwl0dB2V1IKVbpi\n+dorY8Ovk+cTUYbEWMeRGF7QcF4nXHvHbzmLEeVxUG4nnorAyHmO07g9K9qEbtIgCLkILm14uurR\nTRuKYLibl7yocoJAZ+PQrYmj1cR65lWGmghfboKNWpKNHL0VYV5lVK3jIK8oNnGVRpTUxi1XKhuC\nusSR7e/9Vd+2WOlhJAPJUF+DsbjFJcb7GPVYLFHXwZRTNN9ChLhPFkvI45hVTIL4BnPzkKY5xy3O\nML07BJsgvWOkcxJXJckuJANCkiLllPXqE2T6EKkWdJIj2voM6d3hsvo5y+orQqjwoaBppzTrR1jT\nZ9k8AQw23aasX+DbCW31giZMaENBf/hjBtl79GWfWfUZqfRJTY9l84Rtd5/M7tAz2zRaMHAnIGDt\niCbET/iBbNH4Besww5k+e/Ye8+YbtuSY8/AMwTLVUzr0yKXHmiUj2WKmFxQ6ZxGuKamYyoSlLNiW\nPc70BSk5jUay2JQbduUWb3IXizCRGXscsKsDtnTIiiU9urS0FNQ4El7JJWtKMk1jv4QJLQGLoa8d\netrlQtZMmLCi4E0dYxEqYmbLa5lR0tISG+EWodWYd9ISaKQlx210KhEm9D5bDDQl04QG5WMZ8LXW\n7OJYiaeDsKs5t3TALTpskXIqE/7Il9Qa37trPBlCiZIivA6BCs9IDL8MFQ8s/KrVDXEsQRT+98JS\nqjJXEAn0k4aBa/lcK6pN3OUe0Qlrif2PSoU8qVkFw1RhpcqRiysQfGSbvqgzUOFkwzKde8N+VnG+\nUY6uiozSOzrWs25j0ei5hkeX2/RcdN9mSct1neJMYN1GF8u3a4xiM3VR/e6IYt/r4qGEOGUJJWIz\n8DXNYB9TFkhdoBoVfb6/j1nfIOUMJEHqZQyy3noPbdZoO0fDGpceRCNbOkTKa7S6Jg8b1qlJaXbu\nUk9/GZlCOMriERF63CNNDqBd0mfEsPsxSbJH4nYiejDZQdIRRhJcuk9dRTBy6vZwyRFgMKr49VPU\nryg3U5jCn9Mxu/S+zbhtz+nm79JzcSXjJKesnyI4RKKWIWhDIhmT5lEUdkkXRDg2b9OzBzgcuRlQ\nhgWJOnIZsW1v05ERY3PAULZA4Zh7zLhhyIiamoVOmTLnwNzllT7EkvJKXvMGd3jIQ/r0SEmYyIQJ\nczrkbOuQCdd8xAekxHCkG5kB8IYes6ailApP4LaOacVT0LCipkPGsfbokvOmbtElZSolV1KQYCOo\nRzw7mtPVnNeyjvzYTQzm58yYb8DJI00Za4/foc+aQE4kej1kHQsqDQUtCwJ3LHwkHd7VISVKLS2/\nxZAGZSCxML3WBidwqSHKyCXiDLfFcSer8GrJRHEIfYkxCGMs13hS4/m8VXZEmAbDgVGeFF1aFW6a\nhHmdMmkd514YpQ27WYQV3UtrWlHWwfCgt2YnaVgFw/ujWaSX9dfsphUOYbHKWXtLZpTt0RIjChKj\nrTrOIyhBITMa2aaAIxazb0X038XxvS4eQWOjTrWJdPMkx9RrbFXEZLjgwaZI8Ei9jBwObZHQoD7C\ncYJfgjhMvo+4IX72WcyrNSl+/RTvV0i7pt19G7u6ptN9DwkNHXuEtQOmq5+wXn0B+S4i2a/t+svq\nG6wdE4wQ2gVt8YLUDLGSxC2PBhRB/QJBaaliaBUJVhIEYeWvaLVEVLiuf4WgVPULivY1IhYQluES\nZzr0zD6gpJLzlIf03AELf8bEv4z80/CMNqw2/I4lmekzsicYEs78Qybh9f9N3pv0WJqk2XnPa/aN\nd/Trc4THlBEZOXZ2dVUP1dVNkYAoUAK44ora6SdoK/0R/QtBArQjIYmgxGYXu7vmqszIIebw2f3O\n95vM7NXCbiWpJcEElGJ/m4jrHnB3BNzsmp33nOdwFp6jeMaMcbRM2GNg9tmwxGAY6YC3+iU5BVO9\nYqh91rrkKR/Q0nAqlxzoAbvEoKATj2BibF+HdLQc6i4JllfyjiPd51iPKSm5kCVDHTKgwBNINOFQ\nJ9sQnsViyEl4pLvcyoYr1hzoiIKEippPwx2W22b7FY4jSSjUMtSMd1JxJnNSLOXWU7zE84QeM1mz\niQN4jrTgLESuxc+Zc0BGhecXLDnXjkSUt+o462Jt40KFW2+50UCBUCk8NgkdgUsvXHnD1bYq4W2I\nouSBCGPrmKuy8hZVw2f9NX0TuJO15IljaD1rb0mM57EVEoS3ztJ6Sx0Ml95w0eY0PuFdXXC6HDJM\nO3pGWXjD3mjN6WqAUeilHV0wFFnHXt5Qe8PNus8w7dj4eL0JxPFsB3TefmfhuO/15pGYXkQImjxq\nDGmGBIfPe2hS0I12AQ/1TeSDupogSshHaG8fWZ+TFMeQRiOR332PefM5bM7AVRgpSfqPuZ3+C+x6\nhqzOCX5J154jwyekgw+xpqDs/wHa3OA2X5MkY5Jkl0HxCSGs2NRfYdMJ3kX4kOuuQTsGe/8V0/bX\nrJqvyPIHlPaYJN2Ni7b8IZmZcFT+OQkpvzeIjZL3MFLQs0e0Yc60+4pv5B2ihiTZZ6oXOO14Kn9A\n7WcMbaxxsKaPx29rFRaM7f2IPCRhEc64az9gKDs8SH5Eo3WsltQoJOZmh5wi9rQg3OURO3KAIUbR\nL+WKU33Lrhyxp7H3d8mCjg7VQEHBM14CsCDqEo7AIz2hYsOpnPNWzjgKI2ppIvxGB1zKlCuZUtNR\n0TDUHqUmNLQMNeeNROjvTBoe6BGvzSWo4iRQE1jRUYvnjWx4jz7XdBRa0G3TsgYhxfIzXXOtiiPg\nRPnMpEy0hwVmtDGyLpZE4EUX+2COtlcMo/BhGjiUhKkqrQRequOOGCzC8VZPUKDyhoHAc2cICM82\nPUbWsyCwVrjsUhoVMlHet8J6ewopgNsuYWw9J2W1/VqWSdrGWw3CveGS0noGomQmUHUJZdaholzM\nh2xcws42hDdKHIeDFbM2x6DUwXxLWm+DwVj/nQmd3+vNQzUQtI13t2w3YvbKMb4okW4DJsNuZkgy\nRG0SsYPZCFm+jJ9P+4ThfdzqGdrNSWZv2R3+I1CP726RpEdz8IjJ8C9RY1ERfDclhBpdv0S6FT17\nB7I+081P8aHG2h3AYLI9jB3QhQVN/Yok2fu2QS1N9ri++V8ozT7D8lN8d4MSWDbPSNNdrquf0UhN\nCBVON7R+SpafsPLndD7qIwFPYUb8sf2HLPWSjXvDnrlPboYUZo+l3tCEOX0Zk5Jy13xAKj3uJT9g\n7S85C9+wDBfk0sNKyZIpU/+codnn2LxPIUOcdszdaxJSBozwOKZ6ya2es5GWfY65o0ccyCFv9TWt\nBK7lhhN5yEgmZOS0NBRYaqnZZchCFmxouZCrGG5TIcEyYsANC+7pIQUZb2TJse4T8KRYzuWWHfpM\nGLCm446WXMsCQXkh53GSQsI7ah7Q566OmNKQA7laTrTHz80FUzwllh+HE17Kgh/JkIdiqfCsaNjR\ngl8wYyyGEsNAlBRhgGXHxDrJW5SHxjAxcIBlhmcowrNOGAu81ICYQKcwMgFrAoep440zHG2j9X/R\nb1j4hF2JQGSDUEp026wJpDbQesvPO+Egb1AVzpuCTg2DxPF7Fuumi0a1JCS87CI22hjlflHhVcAq\nD8qaVJRZmxMQam8pEkcbLD0bvi2C6m1BQql8N6LH93rzcGEV72fqQSymaxDvQIg+D5RQTPDFgNA/\nQNMhMvsG+vehWyFug17/nGTwIZLtUp18gtiCECpIeogG8quXqFti1ufgVojE5vO2O0PFkuR30XzC\nbv8fEPAEN8MmY6rVL/BuSt8ekaX7CEJiBpjyHvP61+ymH5NITtddA5YQKjptCN0co56SIUl+lzI5\noQtzGhfj7llyiJWMVEq8tjg/Y2zuUsgO63ATCWkEHI5+8iACkRGuwkuuwis2/gJPy7F5j6le0mpN\n7W8Zsku7vSKtwlVM1UrOqbzjgguOsx/g8dzIDR7PQHOCePqyw1LnlGTs6Q5Hus+ZvmalMy63ztEh\nJQsq5qw54JC7ukuhGX1yDjjgQPeYyYIdhhgMM1lxpD0uZc5A+yxpqMUTUJ7JJUMyHukBezqk1JRG\nPAsct1JxQoHTwLksSRHuap9fyYIXsuCpDnmifQ615N+YNxQYLthgMXygQw61x7/0a3ZEeKexLKpD\neaeOFCFIwIhwRyxzPJ9IwZrAJsCrEEhFiYZ56BFNV52CU8NQ4tUgEfDB8O+qjDtpywtn2LWBf1B4\nnlc9Xlc9pgEOsoaPBysaNRSi0SNiHasu5abJOa9LjouanaJm4VIuOsu0KVh7yySvmQeDAAf9NSOj\niESdY9lFgnph4jg36DbBQdyMShO+s2vL93pUm5sxiR3FjIsp0GyIpjmiiiYZyWYa0YNZH1OvUJsi\naQ98AzZFsxHW9MAtomg6OMbWK9brX5KnR5BNIkl9qy+IyQniSHf+aGsTrwndDKozuvYMa/qIyWna\ntyAJee+D7cdKvLsFFG1ncfGn+2io6HSFNT3m/pRx+h5r94aePaDTKjpP/Q2CIbd7VD6+9rQU6R1q\nfx0NYcZiJGFgD1iGa0Q9I3vIrfuGkb2Lp8GgKJ6+PSSjAEnISJmkT7BkbPSaTPpsdEoqGZkMYgpW\n1+ywQ0ZJqysSEnIpKShpqGilYc/cZaFTdDu2DQK7sk+ihk469nR/64IQEkkxgMFQSUdHg8MzlzUp\nhoCnlQ6H51B3qaUmIyXHcsUSQZgw4MzM2NEBM1ORqCHDsEPJK1kzk45YRGBYS8cOlmN6fCkrnASs\nwD3tsxRPRSR5fSMVE0oSW3OHkloc9yi5xpEJlBhUAo0KXzrhy02PNlsjWMZGadVw3iV0puOeMXzZ\nJYxtoFL4r2WPr7VmZALTEEE947SjL8LYBGbB0DPKIO3oJY5Ll5IhXG1HrQtvWbYFg8TRhChp9iVw\nVZUcFDWqQm4DJ0XNrEtZtDnDtOOyLslM4GZrQ/fB4NXg1GJFcWoZJ444t4KAELYej7+Q/8xHtamd\n0LqbeB3QgASHiokYQg34/i6iYKcvQSxqU0I+QHyN1FM0ySA0SDJAgiedXSGho589QspjmtVvkQDq\nqzjqNQkaHMy/RPGYZJek/wSbHZINPiQt7qF+TZGd4MMat3nOovmcuvoca0eRlI7D0dC6a4J2FPaQ\nTfeGhT8lsUMS6ZNnDzEauHRfMSr/ACsZ8+4Zo/xjPA5rB4hCwFGYCUaFzIxRhL6MSSQnEDtQLt0z\nrvSUob1DKX2CxhoFH6ot7ayjCre0W6JWQ8MLnvNSf0erGw7lHhNzwpfhb1mzYs0arx2XcklCwkbX\n3IS3HHDEUMakmtDTgoVOGTBmyobX8o4DOeaYQ6xGe1sgcKAT5rKmkopj3eNAD7iWBSs8T/Q+Z3JF\nogkBz4KKDMtdRizZUGjKhVkw1pxz2bBHj4DnRj33KBmQkgEzOjIsL1lTIlyq4ze65lzWNDgswgZl\niOGXTLnVwDkVG5TPtWKunh6GhkClyp8y5kep8BfDNaKGYzHbPEjgJ4XDirKD5ShxBJSBKD+VayqU\nq2D4xApXbYpqLGdPRchFeReURRDYTlaG1sFWk2iDxQWhU0M/7ciNZ5g3nPTXzLqUPy4cG5/wourR\nqeFhf83KJfSTDhHlTuJovSW3sUTGazSCFcaT/AcNeKlsTyjf0fr8Xm8eIe2RmFE0YImNhU0uOgyl\na1FjQAQ/vgftHK5/FhkdzSVheAdbTQluTSj36O79OSEvQUH6D/D1KcXgUxjeR8UQVi9Q32BJwGS0\n9Utc9ZzF7P+k2nyO232Ma05JBx/huilowPkFw/xjit7H8SSSHuO1pdf7A9owjdcrOnIz4sg+pW1P\n6SV3mVc/x5oeQ9lhVv0Cj2ecPmXTvsZIwsqdYpMJ4+QJdZghkjDtPmfpXlFRkdhhdN2KpZABNnis\nFDjt8NqSyQBHzW04J2gc+d7IjIVeM5QJd7nHHR4hRP7GafiagfY4kBM20pCQsK8H3HJDJ54LueFS\nzvmC5zgc1zJjJgs6ah7pET1yljplzYaGhku5YSYr3sr5t+VOApzJOZ7AkJQvzWv2GLKSmjeyZMKA\nESUVjn0dYYFU4VTW/KEecioL1tLxI8ascDynptSECbHprY/FIHzKgBNJMAg3eHJM7MVTeCI5RRx8\ns4flPUkYi+HrEBCiBnIpawLKEMvAKN9oS0AZCdxoYBUMn4eOA0noYfAIQ+LEJdGY2t3PWhbeUmmE\nN49M3GT+xGRYYBUMFXA37dixnqBwt79mknR4FawJeG+5bHPKxPG5i9cQg5JJwKuwrAtyGyNu0yAk\n1lN7Q91F0dSYuElsgvn2/z9qL3Fs+1083+/Noz6FLWdT21skeDTNIs8DJV1O0eYG8Q7NBsjkM2zX\nEY5/jKgQevsYWyJdRXb2G+xmTqhPURzGlIRih3ZyhKjDFEcEt8CYgq49Je99SGJ32IRbjC1Ib1/i\ntcZXr+NIGJj6FwiKuhXezwihokjv0myeYdRQ9D9FJOXMfUFmx2S9D+jCio4YzU+lJDeTmIptX5LZ\nMZP8BxRmwrL+LYoDsSRmjKhsMx67hFDjteUw+ZQLzjiwj7CmjxMXpyxmgMfzKP0zgnpuwivek6eM\nZI+OhqAdN3qG0xZB6TOgxxBHw4d8xI65QyIJS4nf5z19iMOxrwN69Ck144ol13LNrhzi8SxZk2KZ\ny5KZ1NzKmiPdRbYJXE/gWtYMyJnokH0dYNWyoWFMSkXDmczpk/HcXNMj552ssCgrOkBoCMylZlcz\n/kR3aMVTEJvoRqQ81R3eSkWNckrLx/S5pwMea8mHDHmtHbkk3OJ5qANmBC4C/IFJuKsFNYE1gQT4\nOnhu24y1CnsklCQ8kpT7Vtk38DrEigZRw5VGPcSjXGsMxwXgwiVceEOlQinC/+0cQYWW2OLWqtAT\nZZJ2fGyjmWxdF/REURMo7Nad6i3zqsAA/bQj3ZY+OY229GabiykTz25RswmW3HhE4skGIPzeJAbY\nvw+C6Rv/eTx1IIjtQXAEmxCyAp+VhCSD8hjTbgjlDu3kAPUV9urX+N4Y2jXYAj88QImdL2Bo57+l\nq16h09+QX72GyafQ3GDzAzTto4BvrwnlARkFlpyueoWoYuwQEUORPeSo/MvYdJ8dYCSW+oVQ0Ss/\nxkhKt827HGQfkyQ7aDej8zNO9TUiKZkMEDEkxX36yR0W3StWzdcM0wesdYolp5ARlXvHpPgBpdmn\n0UVEB0pOpxtAufGvOG/+ll37kIo5z7u/whO4cc+YhrekUrAJcxrdoAQaau7IIzIp8QTG5ggENrpk\nsW2rC8BIe5xwHwT6OiAh4ZZbRAx/yg+oaVjolH3dpyDj2H7Iro7Z1R4jLbiWGQ844VyWvDJX7Guf\nBTXfSERCnsqUAyKj41xWHOiQGTUH2mPKmhEpBZYzWXBHo0nNo+QkvJUVHdGNCvEXWVF6GAqEHRLe\nUfGNLLiUhgtZMxBhCDym5EtZcotn38Acx5U09MXQEtjVnFSUIm3Zl2h9HtTPEgAAIABJREFU/0UH\n53RMFd554SOT8FQyzrzwRPskAhMbMza/N2LlogyNslJh3RV8lirzYHixGvDVps/UJ9yXgl2jnKon\nFSXLOo5Tx771FNZzsym5qQvGvYqPehsM8NViSGo9Q+tIRbnZlHg1rLuEm03J3aLCiFL7hEQUR7yy\n/Lf9f4ZXYRW+m2X/vRZMD5OPMJJikj6ydYGG3hBbrwl5SbK6wY0OMctT3N4J6WqOdGswOVpMsPWS\navEzMrMbo+vrl4hJSHY+i+yJdJfl8qfkncf5BdYMoDyE+hIxCVaFIn+EMTnBr6n8OVl6hOR7mOBB\nO8DHmL/po9pgTI6jJi8fR0+KXyAIhgQfViR2xK4c4vyURpeUySHerbh0vyEho7CRbzrO3uem+y2V\nLthJH/O6/SuM+qiJSMImzDDA3eQTbsMbDuwjRFLG+UckoSMlZaW3ODpKelhJqdnQSceRfUKlM2rd\n4GhYaYTwVGw4NA95q89x0sZkLpEmVkhBX4aUlAC00lFqxhu5oCTlUmZUeoOI4Yo5FUqKoaIiRThi\nwjlz7rCDoCxp2KXPUEd8I9PIMJGGE8Y4PJ0oxzrmWtZkWD6XFRUdh7G8gSEp/S18CIROAg2OIDAm\nY7ztmdkhZagFC2m5VM8ThtxKi1FDLsKYhGt1rCTwgJw9cr5iw3uS0aE0RHPVXQuvvHBgopahJlBp\nYBMMF9JuYZeQixBgK5LGgFun4I3nmy4Cg0ZpByq8nzd8zIC/9R1eoAuGVJTXTc6tS7leDpj0K46z\nlioYChs4rUsSo7Q+YgwTURo17BexwtKIMk4d5RaB2KlQbL0on7vPSQV6YvixPPh/Lbz/7ATTzi8I\nWuHdHPUu0ryS2Kiezq/QrIcvSuqHP8TUDXZ5AfkeWh5gV9dot8RKRrdzTLv/GNN/D93/IfgGdRVB\nGwajPweTYvNjVBu6239HWjwEk1BVXyMm37pJ+wyyD6jqr6kWf0dbDtD9P4L+fVQVsiEAzs8wIfB2\n/r+COrLsHllyGF2ymOiABfL0mEn5x7TuFg0Vu+nTSPNSz5X/itvm10ySp/RlxMq9pqAkENjr/The\n4ySwCbcs3Tt2zV024QYfNjTtOyb5Z5zyil1zQo/+1kFq2bCip32+Cb8EYMOKa7lhRcTS9ejzNnzF\ngAFDHdGjx5VM6dMnp6TTGlA2rGl1Q0HJhAEzWXCgE4Y6YJ8D7ukeJzqkT4bi6ZFFkr0INVFDSLAY\nNfzKvORYCz7TO2QIHR0ZCWeseCk3gHA/7HBCyh1yQhyY86UsuJIN72SNoPwrVzMk54KGOR1fsORC\nI8nrUtYca8mxWG6kZodY2vSlD1xufUQ50NeMt1SsgA2BlQoLhSNSjiTZog3gJliuA0wJjBLHXatM\ng2Ak9sC8bOPEaWQCp1uy15WzHKYdiyanCpYHZcVGheey5tMkLvCFS3iQdei2EW7QqzESOG1z5m3G\nrY/v9QdlxXpV4tTw5iYCv5ttDcRe1iLAtUu4cQlNMDjiNaoJ0YZwsn0D+E99vtebR4R1mG1CFcS3\ndPv9eLpA42hWleLqHeI7NBvEsebmEuor8Bt49E9JZu9IT/8GaWeY2TdICMjkEzAZob6gaU/jSaJ3\ngrUD1C9pu2uK0Q8J3S12O2I02T6VzkjsiGR9hVz/nFC9w/tbtFtA0kPVYdN9Tgb/BBeWBK2p2heo\ntjT+GkyOkSLSz0QoikckdogEjzE5xcE/ZiQHDJL7uLD41uq+l35EYSZMq58RcBylP6DDUZoJpTmg\nNBPm4ZwL/4xZ8+s4rRHDmiVLFiieiRyRSMqu7uJwTOSAoQ7YYRePY8GSShpGEtO053LJY57Q0eI0\n2tNXsqZPnxbPr8xz5qwp6LGUNQtZ8YLnOHGICEd6hMFyoAdcyowT3aFP+e3RvhPPXR3iRTljwY/D\nJzQ4ltTc1T4oTOmYypodLRCEtzQYLPe1jyPQ04y1OH6UpHzJgj1SHumIEZaBGOY4ShLOZBMb7zXj\nOQ09Et6zghUhk0jZuqLheWf5SHLeaqShWzWc0/Jb7zhKPL9rLLvWY4AnkpEi1BpzLqedpUc0kg1M\niIVO1pFvU7lehcOy4mneRBIYUOF4pY6+KDtpx9/MxhQ20AXDKG1xLmGQROv89aZHZgOoMBhW7GQN\nWdFQpo7GW8Zpx0WTU2vsc+lbz+M0fJtpiVZ1YV8G38ny/F5vHnVYYE2B92sILbQLhj8SfN4Hk9CN\nJnT9HiqQrG/QpIBujdt9jKKQ75GubjG+Q4ZPULdC0nHUSqa/Qbo1Nj+kyB7gaQj5CJPtsqo+J8/v\nQzNFg8OQxCuN37C3+0+xyRiT7NC5KWIKNt0bgluA28QypW6Ka85Z+yu67oJe9h5pdhcBLJY03adq\n3+LqNyzqz1l0z+nCIpYI3fwtgo0uWDpuw1scLfPuOakZMEjuIRi8NvRlROyBuWQTpogIIFS64Eny\nZ1yEF1gSJkQYUUbKwByyZsWNXpGSc2wekZERu1j63NE7WEkZmQMe6H0WestAdngrp/Q1p6aiYsNa\nVjwMezzRh+zpDhUtS9b0taSho6cl53LB7ztSGxxfyw1BAy2eI91lumVpHuiQAuG5vMIQ+1wKMu4z\n4ZCCqTRcSOxpNcCFbFhLG3F64lnSUgKHkrGrBa9lTg+LRzki55l35BhQ4ZWsWWu0sLcELrxwHUBD\nwiMGfJAG1jgahV0TRc9WhU9MyrWzPMpil4sRuKbjjTO86FJSCXycefoiZEnHtUtpt0VLASi2m0lm\nAhfeYFS4CYa3XtgEw6VPWPuEx8MlTmHtE3YSjzEBp8KkqNkpK0QClQrWeFwwHA/W7KUtR1nL3KUM\ntv6PRZexdAl/82wUKfAqcWSr8AF/DzYPJeBDg/l9SZ5YwjczBIvaDELAOId0NfiGkBWIBpLZKyTf\ni4uwXRNsBq7B9B9EDSI4TDKhqV+gxtJ1lxjTh+u/pa1eUmT38N0t5BPQjrx8QvBr6uY5un6DIGw2\nv6H219DOGQ7/PPbLIGTJAcZG0bVnDzB2wLz5HcEvEAxBO7xfE9QhJhYqJpKR2T26sCIt7kfNpHiP\nNqxJTJ9bvaRn9pl1z/F+RWH2cKFCkZiqJcWSktFjKLv0ZJdOV+zIHgATc49Wa9Y6ZxWuOZaHjBlz\noW9w2lCaHWJLjmUhc+bhkttwxooFoEz1ijEjjuU+I40uUUtCTHgYNqz5lI/xKEvZcE/v8VfmOfW2\npuFcLrBiOdQ+JSUGoZKa4zDCYrlkThvjcgRgJdGef8YcUcPdLeTYquWRDrmrJTta0KBUBCzCJS0V\njpm0FBphPCsCA814aIUzdfS3EKnHkjEg5Qc6pjSBIxE+NRnv2DDEsiRwJIYCQ2ECOyK8oeEkCdyR\njLGAC8I9cp4mSmECfYGLoHzthD6GJ1nDQGIbHMCD1NMzcSoz71JElEaFhbfMuox5FzNOrQpl4iis\n582mZJh2EawcDMs2JzfKuo28041LuG1iwrZVoTCBJlgOi4rCOqabHqYQ2q2W4oki5zF3v5P1+b3e\nPH5vql37d3g3g9ASflURspJuMCZdzui9eRbhM/0DbLVE3RrNRqiAJjmYDDf/JZoUVIufY4o7+Oot\nqg3F4DPENSR2CK7C2h3qJGClILFj2uOn+LBhs/mcLswoR38G2YTL6t9S5k/oZw/x2iDFUUzHml7M\npnTXrN1b0mSPxl1hMHR+SlG8Bxp1kUF6j8Zdk9gRXjvW7h2Oipv1v9520iYM0vvsm4cc2IeswyWl\nGZPZnZiH0Tk9u8/CvyWRhNJMqHXJWmfxtKINPUb0ZYfT8BV7yfvUVLS6Ya1TxuaQY3nATC9ZhSum\ncsuKOSik0iMl41KmGBKOzSOMwjO+YCpzxrKLorwxV0xlykLWvOYFEx0QUE7lHX8WHrCWhqH26RB2\nNLI4bmRGRqwhuDFL5tSMKLf5lhkZGZeyosVTSkolLWupGUQHDiup+Q1LXsuah9rjvg7jCFNTZgRO\ndIhKTN6WGJ7Jkg3xRPBSHQnCCs+vQs3PWXAilkuNAOaeCGe0PGstGzzvNHCUdBhRjsTiFC7UMRAh\nETinYSiCbvkgucTf2IrY9YIoXqOvwincdClNMBz+3gfiUupg6VsXUYQuoZRI4QgKvaylC4adtGXV\nZTzurWm39LB+0tG6hHHW4NWw8Alrb9lNW0pRvBqGZU3a8+TbTIsSry7f1fM93zzAa0Nh9jCSoOqx\nmzm23mDrNWoCmg3QbICppkh1hUgWocUIrF4h9Q1JegSLr8jsDiGLtIdq84zg5oR8hJgy6iU2pR8G\nqDpUO7LT35Hu/BAXVuTpHUKaE+p3HBZ/St18g0iG93Nk/Q7nF2yaZ+T5w8j6kJIQGnIzoaYmMSMk\nKEhCHW5R1W9Hvv3kPj17QKNrLDmJ9Lla/ytm3VekMqCUHSbpBwyzD0A16iokuLChNGOCOq79i60/\nI2PDhlrnLMMlCTkT2WfuX7Ej+8xkSl8mPNPf0lIxlAmF9Cm1R0PHUtZ0WjPnlnt6zJIFi3BFTs6J\nHtPTAlXPR/IZezog14J93WXAgB4lI/psaPnCnPMT/oKMjJ4m/EZueLdtgVtLS0eD1Ygi7ACHsqs5\nOQaPss8OXiMpbKw9ADYS6ecfM+CRDphLR711mCYS+FhHXLKhomNAygbP2xA4oWSI5Y5YLjXEr29g\nXwz19u/ntPzU17QKe4ljIoZZiIauqxBp7RMRrkLgV03C0MRJzC87YWI911WPFLhrPbXCs84y85Z5\nMJQSuR9PUse0zUhF+TQNDJKOw6xhP4maRT+NJdUDG18bFawoS5eyV1QsgmE/7dgtamZtTpbG8Nv1\npmSSdAySjlqFmY8bUhcMR3tLlttofk+U5Xc0poX/P2weocaaIkJ+JEF8gyYJpq1JllNCUiDqwEXP\ngx9GXqkoMHgASYFJBmBSzPBp3GSKI4riCb69wXTrmMTtVqjJCNpQdW8JAojBzX9FbiYx2bu5xKYH\nuFDh8RhTYExBCDVldo9e/j6a7+D8kn7xIZ2fkWQHBN3Q+Vvmza+pXXSZWlNgJKNtXjPtvmTpzznM\n/wQAa0oG5hAnhiCBKtyw6F5SdW9ow4xG13gcg+QeSEqja1LJSM0OA9nnQO7S0nHLlMLu4NWTUrDW\nBVYtjpaH+oCWlhu9jMKr9Nlll12d0NKQSk5LixXLggXXcouiLGRNR8fr8CUAiuONnJFqwpfyjp72\nGFJyoiNeht9R0/Brc8lPwiM+DEc4lJOwx0gHnMuaofa2+RfHhD43VBxojw0Vb6ViV0tmbFjg2dce\n4y1d/YUsuaalxnFKzZzAVzKnE0e9NZa1avjUpHzJBoOwR8quCEfai1xR9UxIOCLlnRcSo7x2lpsu\n5Ud6yMpbArBn4Lc+UsJKiV0tRmMw7UHiGRsYFhWn3jASQ0+UoQkc2EBhou39q87y14shJ1nH2id8\n46FVw0VTcNWl7KYd6zblbEsUs9u07k2b8UHWse5SclFOm4JZU+DahHHS0bMOVeG6zemZwKH1rLqU\nKhgmWYMVpTTh25Ru+ffp5JHZMS4sY07DLyNHTRVTT7c5lg68h2IXTI5MP48A4/YmiqwIWkRwMKsX\nMVxnMzCWtHjIpv4KTQrEFIgtSdM7ZMkhvr1C60tW3WvS3uNoUkPomtd0YcGw90d0Xfy8hoaqfcVp\n9X8h1RUGpW3Pyewuq82v2U8/w5gBw+xD2rCgdhcsu+fkySHd1gfSN7s4P8drRdAWry2ECu/XtLom\n0KIEcrtPqxs2YcbavaXyl2x0QU6Pa/915J5i2ZEj9tjjwj2joyGTISkpfXvEc74ilRxVh8dTUFLr\nihu5pi99+jKg0IKxTJjoLq20nHDCrdySkbIg/syZJjwzp3ygj6ml5kf6MUtZcaTHtDgqaRjQ55EO\nWMqSt2bKx/IZ17LA47mnIxweswUB3bDmiBFTqbAYTrRAgaW0PNbYTJerpaLjoQ7wKDNx3KekR4zV\nl2opseyT0xflse7wGQPe0nJGwxtvOKbPTJX3JeUyKF8Hx2MLA4FHSaAT5X8OV/wkU+5YZYzhD23G\ngsAjk1CIchGUd16oiHDkuzbG7W80fOu/UIV9o7xqM04Sz9Phkr5ApdEqvnEJT/KWWZfyejWgbwLL\nbey+DbG3pZ84vHgWbcbSWwzKOK856m84SDsQpchaUuNpXMqVT+glDojTHYhXFa9Cu/25vqvne795\ndGGNlR4aWsRk4CoIjnbvEdgs5kdsEhvtjY3NcOkOxvSQdts0ZyzeLZDyPqZdI65GghK6azIZossX\ndGEFboUPCxI7jOG0pM84/wgrOW31NaG7wYUNvfwxTfOKLH9AIhnn9b8llR4nvX9M566ZN19gbZ/K\nndLPnyK2ILUjxKTkZkwgkMuYdfucLNljlDxEJGHl37Fiwdy/pd/7lL3kIwKB/ewPabWhDSsaf8vQ\nHJJLP57EJGNkjra1DAfcuK9x2nKj76jZMJAdairehC8Ag4Saie7ErJAYMjJys0NKRoMnaOBCzzmX\nM9a6YCELGhyiQl97HHFEQcGZTAH4KJwwY8ZIRwQClyy5kktuqbijx7yRMzJSGhwTLTjTlwzJOTdz\nAsrUrDnUHQ50QiEpFTUHOuCaNWNKnsuKHc3p8Hwtc3YZUZByJtV2egVddI3gET7R+wxIYl6Eki/l\nlrl2/ERjM52I50u5oS/KOR0fmGgGW6vykIKW2Pj25zajIjDEMA2Gb0LLLin/ulWeNzm5KDtG2Sch\nw7BUeM/GUegmGMai5AZ+WxUcpY4a6IuyJHA+G0WuqfV4lMQoB70NftuxUgVDJoEMg1fhtEs57m0Q\nwKvhetNDRXlZFyy6DB+ETZdSQzx1+ATRaBJLt8JsaiLX46mk39na/N5vHq0ugChEaYjo+uqHDzBd\nC67BF4PIK9UAaDyJlFubud/EKcz0FyTDj6GdE9Yv4gbUP8Hkx1gVgjak/fe36V0P6rHDj+iaN6gG\nEEPee4qYHkV6F0NK3v+I4JcUZp+D9DOy7IQurFCN76TGDEFbFu0XBLckhDVte0rZ+5RVuKELK1bh\nGr9llmRmQiY9Hpb/JSN7H+3mqLaswzlNd8GufY/S7pEn+1Q6pzQTesld1uGGvjnEktLokh1zl9Ls\nbN+LDaXsUFJyzz7F0X5r9ArqEIUePc78F5HkTktDzb4cckfv0tBiFA50Qk3FSio2GqdKAeWQY2pq\n1lIxZcqZnDEk5ZoFPck4lwuG9JjoiBbPS5mDKjM2HIUxBQljLdlIzd+ZNyxpeC0zVtKwR8mZLHlf\nh6yI1PEnOuaVXFPj+Ej3WKqywVNRkWFwBOayZEVHguGMigc65HMa/k5uUJQfm4IT+nTAGMtz1rTb\nftxrGvbEsGeUd9R4hYbADY49I3wdOnYSh0c4MoJTyET5tVN2JY5+Nwo9o1TEYN9u2jEW4axLWGmM\nxB+OV5RbbaNSIZVYNlUYz19u2+Bqbzl3hoH1vJ6OuZeESAcTxYfYeKfbTeG4v8GrQVCm8wGp8VTB\n8ruf3o1dthqBRJW3/AWffmdr83ttTwdQPLkZowSMSWO72m3ANis062Pamnb3DsniAt8/IJRDbLMC\nm0M2RnyF5EeIr1DtMOkA314i6RgNNdotvwUea3uN7T/CNReE5pK0/xRjS9rujNDNEFUqd4bzU3xz\niSHFZvu03RmJlFT+gt74T9B2Sjb4EN9ckZkh37i/Zj/9BCMpwc0ok0NS6dFLDlm4txT5Pc7qn7JX\n/BFNd461A1p3hZiUVbiib/fw1ARtWIVLap2DWNbuLQfJhzRhRmpKGl0yzj5E1NPpilwGIPCaN+Sa\nsJIVEzmgZ0a0bNhP3seo0pMhC70hlYQ75jGpZATtmMotD+R9jBiWzOlT0lBvx+aekpxDc4+NLriV\nDfs6JsEyoCDBoiiFZmykJiGOPldS8VgfsJQlGxrOZc2trHmoY+bSEBCswoCSFMiwrKVjKS3XUlED\nG2nj1YWSIFsBVKP57FJWFJpSE8jE8E4qDiXhPR3xO61Q8azp6GvGGzoWKhxZpUPoieG5h5+YMWdS\nUwHHkrBUZSSWlQbWwfBfZDDTgBjly85yL/HEgL3wpsvoG09PlPNgOE6U6wCpiTmc07aIVxE1WIkf\nV4GNj5OW1y7BeUuiwl7WUWnkk/qtDV1VKFJH7VI+6sXC7TYY5lXJblnTLxuWXUYv8RyeLEmNYgRQ\nYZJ4/hFP+ffttf/++f/Cnm6BnwP/2/b1LvAvgS+BfwHs/Af/9n8EvgK+AP7Jf8w3cVphTR8kgeCx\nzRrN+pHXoR22WoMIcvMr7OoGnw+iC9XVUcDcfBNPIuNHaLfADJ9CdQ75Lp0uYwvdwQd07ga/eY1q\nh3Mzus3X+OaCNDtBMCiBXnaPIrlH0fsgtstJQqMLFu4VfXtAPf8ZqZ3gNy9wukHV8dHOf4ct72Ek\nRTAUdg8XlizdG0ozwkoZ+1aa56h6Ft1XtGFJIj1Oyn/Iwp/x1j8DsfxSf0FGSV/G7GafELRjEc5I\nzIiRvY/zSxb+nDNO6ajJzYSH3GdsDkE9gY55uKZvDnjjfslMLznVF6SkPJJPuA3vcNqwZEFPS+Z6\nxUrnLGVDQkKQaDYb6xCP4zy8IiVhSKxdGDGioUNQblmjQKYZaxq+lgVnsmIqt7R0GBJSImt0TJ87\nOkBQPtPHeByXUjGn4a6OeEPDDhkHZOyTs0POfT1AEX4Q7hIEfq41O5pjJFCIcKMdLcqFOr6QORVw\nrYEWuENskrtnopC41thr8kOb0NLygfY42R7xd4wwU8exiePOv+6UIPCQNCZUJRZIbYIhlUDjUqbB\nkABnLgqoCXDVpexlDceJw0hg4S3rYHiYeOZVQUU8fSTWMylqyu2IVYCpSwkqDNKOSdpxXNS82fpF\n8m1HS7rFHPZSR25isA6g2lZMbrasle/q+U/dPP574HfEWwXA/0DcPD4A/vfta4BPgH++/fO/Af6n\n/5jvLQghrHFuFise1ROSDLu8QFxLMn2JLyeYZIS0swgNcmtISqiuSewO0szQ658jxRG+vY7j2M1b\ngltibI9keUVSPqDtLgjakGV3SNMjRCzN6jeIZCTpHt6vUTpCt0TVEbSjNPuUZgcNgSzZQ8SivqFM\n7tKGObP5/4HbvCZoS+UvqZvXzGXGOH2fzO6i3Zxal/TSE96FL3DaUthdvmn/DbP614BybB7x1n/B\nPQ7JpKDRJYvua+owpZARb7ufsfYXrN1bapbs6R4jc8jUv6DThjf+d5T06LTFYnkTvuCtXLBhzf9D\n3pv8WJqdd3rPe8433O/ON+bIyIycq7IGFosl0aJENtTdUMuGYLWtjdHrXtqGV/bC/4CnjTdeeuGG\nARsw0DC8aru70e0WNTRFUiyWqjJryDEy5unO937TOa8X57IkWYNJtgg0zZMIRERm5A0kEt+Jc973\n/T1Pmx4g5DpiKpMvocgDWSch5VKG7HObGTM6dKmp2ZE9YhKO5YpXcsVI5rSkw4fylBYZAwa8ofs0\nybiWMYLhG36fnqZcMWUuAXTcXuWWzxiFf6e2eGJecC0L9rXLHd2kRNkhxhFMcZkmODw/NAekCIcy\nZE7BQxOTYOloyhE59eo68KZktDF8yzR5T5qrbs2cDRIeV4YUYewNt8m4UIcTx/d0wee+oiCgB+cK\nf1TEbFrPm7HjqDacqiMleFA8yrpRduOKblxx34aNpmsdSxVOq4StleCpUkMDEC+c5Q2sKPe6U0Bo\nGKUfBem2AMOiwc2kJLM1kfFYb7koUhwwLRI6JvA9sjSE5yA8jVaUSILges06MlH+5qodYf2bbB43\ngd8C/kf+VAXx94F/tPr4HwH/4erj/wD4XwkBxZfAU+DP30/+muU1UBcFg/oluAKXGurebojib7+F\nKWeQ9NBsk/LiXyK2EajqePA1RBm+0aOafobV1fXHdsiajzCmhbMOazo0mm8SxRuMisdBGLWC/NQ6\nDW5cBI27aNpD3QKDpdH5GoIQNW5wVXxI7caIiVm6MwqdYaRBXV8SxWu00zfCNcmXjMvP8L4MEGWW\nzKpX7Jp79O0tAB62fpum2aIf3WXkzxjIOpmmxNKm0iUVJQXLFSk8ZqETIpPRpg9iOPHPESxWItbk\nBg1pEkmDESMy2rzDV+jQAzwzmVJozppuMHUnRFgmOmUhS+7zgIVOSKTBtV7i8Iz1GhB2WeemDtjy\nPYZcsUuX0Yp8fiynTGRKRsJYlrww5/RpsMYAqwkNGsRq8CgGIaemQYKqYUPbLCj5rjngSiZ0NeaK\nkiYJUyk5l5xNWtQoH8mUHEd3Fcx/JlO2SdgjZZ+UJ7pkisPhOSbHrzok33YFvxQHgM+bkfKKBTmO\nIy3xQBvhe6UwpCaSoHoceWEJbNjgeWHVvahUeOmEjPB6T2pwKnQIZrqNuOSWgQx4WaTUPoCOO1HN\nk2XK4bRFIp5RFZNXKUsVnixaPMwCr/Ry0cR5w9hZpvOMaR3RSCpOqphplYCG4bHIeNpRzV3Z+hJ2\nvFh1XXYk+Qkf8b9+/ZtsHv898F/wpwpMgG3gbPXx2epzgBvA4Z/5ukNg78f9Rrm/onSjVXchhmrB\ncm8HFYOuzHH4GoohqCOJd/GNNbS5haQbSDqAaoHPz4mSDWgMUDenHtyBZEBVHmGWM3A54j3WZHTs\nDYjCmHleHRHbTXzSonIjTF1iTUbhLqmrC7S8QPGoTWjZbURirsuPiUlp2x1G/hAxDYr8gIW7ILGb\ntM0WibRJ4x3G7iUxEbUuyf2Qwo/5Pf9PWeSfMXfH1H5O3+yS0GTd3ObAPyGSJqJCQoPItNlNfomu\nbJBIhyUTpjrkhnlIz2zTMhvM9IrJKnq/KzcZc81Iz1kyp2e2iTVmSJgyTU2bWBoISocuQ73gqRyR\naMyAPrXULFlwKMdsc5OciqfmghpHR1tkJPzQPOO23iJ4Z4M8OtOIM5lxgxssZckn5pBKPH1tM5eS\n+UpLuUGTx3LFkpouoevxPebkeH4g11gVNjXlNTM6xPyy9nAEu9wuGhrYAAAgAElEQVRUKlIMQyp6\nmvKCnJYIt2lwRclYlQERMxy/ZFdOWQ1x+wMHW2JpiNA3UIvyH8VtOgibYmmu5iUM0F9tGrsmOFdu\n2WCgX2poi75lQ45ljHKtytJbztSD8eymOZHxQYgdl9TAdjugBRu2ZonSWsGADouYjnXBWWwc1niM\n9WTWsRFXNIxHFVpxSWI8CxeiHL/7mSMiRPQbq1PIv6t3f5Ln+/9z/bSbx78PnBPqHX/VJUr50+vM\nX/XnP9byOKzJUC2p6yGI0PvkCaYqMMUCWVysoMcJOIe07yLVHFOM8cU5aiK8G5F03mW2/BN0+hwT\n97BnH4JNsdEaWg6pymOIO5Csh+B3folpbFOLQ/2cyeU/IbZreF2i5Yg0vYO1PYrikCTapp4/J412\nqdyQlmzgCN2hm42/BVpR64JCp1yXHxGZNu3muwzzD1mL3kCIaJpNrKTM9Ypvmr/Hwg9RoNQ5qemz\nYEZsu2zKHolp46iwEhMRc1V9Qm2Ew/ojEjKaNFfdH8/QHbFp7tCTNRrSpdaCBg26DBjIJoXOWJCT\nk1NRc+Rfcq4nWIk55BUZLb7K20xlGkDM2uJYrtnWDa4540JG3NV1ttlGRXglV8HNwiVDFlhiHvpd\ntrXPHV3nU56wpGZXO/xAQ+I3VktNwAEuKTEIDRqMKelog7/DGmtEvE2PpVQ0iWmzEj/RICMMdJ1T\nsUka2q9SkSA80DZPdMkdHdAR4Zoap2FG45iCJsI9q9w0sKNdRqo0gExgLDlNYmq1vG0NH9iYKw9n\ndUyphielpWcdV155K65RYM14XqsLhUxn+fUopfTC54sW3ocrS2w84zJhYJS1uGLduqBHWOkkLXA7\nKemmBcdlwiAtAlhalM3WgtR4+ivjfRq5QCjzhuaKPnb7javQxQPmKlQqrMvWj/vI/Vjrp8UZ/hrh\nivJbBKJaF/ifCaeNHeAU2CVsMABHwK0/8/dvrn7vL6z/6dvf+fLj9/f3eP/2TWBlnyfC2g6+HmOq\nHmQ9sMFFq40+VXsNcR5TF+Aq9PoZEveRYgiSQpTSbr3PdfU56/YGpOv4yWfYbI9q8QLbuIkvL5G4\nRzr4FXT6lHr+nMxsrJiiv8Qy/4yGuRHkUPU1aXIrXDvKCa3oBtfFh/TjhxjbYph/xCB5G1HPy+p7\n3LTv0JNN5rLE+5wfIfrG9Qsy6RHbHuItVjPSaIuJO6JpN0CV2HTxdYAZ96J9lvU5LROUDwt/SaUF\nDa/ciN7mzD2jJOc1zxAP23KTyDTwzjPTES1Zo9KSllnjyH9BgwZtmrRlF0UZ6RXXMiLVBCfKjAmR\nRpRSMtYRa7LOA73FkZzRImWDDgbLCw7whNkPFcuVXLKhbSayZGgmtLQRBE80eNvvEROxa8Zcs2Bd\nmzg8YWxNV/0azxvaZ6A97MpV+0M5423dYcECC6QkPJVr+pryXHLe0h6vZUqGYUHFJjEW5ZE0uWKK\nAkP13JCIFGEInHt418Q0RDhnSqWeZ7Wlbz2I8IXmbEpgojY01BE2bci+3E2VWuGkjujEjkLDSPvE\nBYL5mnX8gVuyFUPTuhU1PZjhvApNEc7LlGNvWE9zDuYt+mnJyBsyUXqisEIATOqIfhTqJmd5g3Zz\nASqkxpN7Q15HVN7SS4ovTxsF0DOeUv/8z/gPXx3y4cFf+gj+2OtvovT668B/Dvw28N8BV8B/SyiW\n9lfv3wb+F0KdYw/458AD/uLpQ//lf/mf/qXfJDPrRKaJlWYYC4/XKG99jeT8JRrFkA/R7j5mOYTF\nKdq9i09bRJefha6Mq5C4g2qN+Bp8hYqgbgnd+5TjH+KKM7L0Dqaxg2pFNX9K0ryPo8SUU5xfYrN9\n6jRjeP6/E5PQS9+ldmNqP8NIwmH1A7bMXUrmIb+CMtRz9pOvg2lQVCck0sKaNoW7oNX6KsXyGUZi\nLqonWAy96A5OS6zElG5EI96nrM+IJOVV/QN27UNG7piBvYXXisg0WbhzYskY+wusWDqyRmK3eFV9\nN9QWJKXWnEgSJjomIcTrt+QGh7xkm10MEfPVnx3KEVNZ8tDfRvGcyDnrOghOF9osmHMtY+5ynxGX\nLMgBz4yCY5nyVb1DUxOO5JyuZrRp80KOuK03eCpHKEHiFGoYObC6/6qnRcqhTNjQFiNZEmPY9+tU\nVDw2l/SJqVR5oBsMZY4AhywYSUUHwz0dYBG+zRXbIjzSNR7LFS0s51qTiaFEee2Ud2yQOFxT08Zy\nqZ62QIGSreoVDo+q5V22+Mf+CAHetMIYz1ltWbeOTAzn3tMU5XUV4vidqGZax7yf1szU8Z1Rj7vd\nKaM64p204skypRZlP6nICQ4YIRQ7J3XEB7HyxCm1CqMqphtXiDecFylracGwTLndnHNdBwF2vYrd\nXywz9lrzL08qumKl/mfyt/7Kh/jv/Nf/A/yE+8Hf1JDYjzaB/wb4e4RW7d9dfQ6hI/O/rd7/E+A/\n5ie4tgAsfaBKiQTWhWCIDz+k7t/AOEXiHqggdRn8ta4mmp6HIqfJ0M6tIIqKu2hjEBgh2SY0dzHl\ngjS9hVKzKF5Sd3cR9SStN9G4gynnEHUwtoe6GVGxpGl3SE0fRIjjLWoK4miDLXsXkYhB+hUSadJP\n36Vp1kOtxuVYycj9mGv3gth0V2DjBMTSMzssdcqofkXuLpn4c4xkXBR/TCRNJu6Iu/E3mPohDdOl\n8lMWOmThLlCU5/4xXVlnK3qLY/+c4+pDevRpSXclut4lpcm23CSVjAHr5DrnrjxirNcc8IIho4Cz\nQ9jzG5QUfGIO6GsPATIavJJDElI2WcdpSaoJI2YYDH1tcl8HfFeecyYXdGhyKmNeyjE1nu+apxhg\nnRYHMmPEgoFvkmlKS2NiLAkR7/mbTGRJUyMUw6fmjAszY4anqylXUmKJeMycmZTcpYsAO9pkTsGQ\nBR/QIcFwyYIlnhrFreDEqsoDYylxqFrOvHBT23RklYrF0MVyrBVDHCcU/GN/xCNrGBhlhFIqoGFg\na6xKuqqDDKKarbjivjEkxpGr8qxMudedIt5wLyl5XMS0k5LMOpYK98Uwd1E4VRQpTes4Vsd1FdzH\nuYvC6xvPRhYYpY2o4nKlrTzPG9Srguk/aDXD/9VKuxCL8jvy6Kd+uP+q9TexefwrwhUG4Br4DUKr\n9jeB0Z/5uv+KcNp4BPxfP803EgzOL1YgY4XWTUyxxCdNMBHia3ychWTt/BXF5m3wBYhg8iFSDBFf\ngauxzVvo7DXa3ESLs/ATL3uXrHEXMz1G6ymuOIPFEWV9gS+vQSvEOaRa0Gy/jyA4NwM8zeQuaEUz\nugUon+f/lCza5jj/A3oSciun1Uc04i0SadIgo9Ipl7NvM6tf4dyU2PYYmBusxW9QsqQb7eF0jhOH\nEuC6J9VH5Dph7C8410MG9i6OmkKXvGE/4EqPOKp+yKUMASUza1zpKUM95Yl+hMdzpSd0zQ6XcobH\nMfcjBrLBug7o0eWCK25xi470WUrBfb9Fhw6FBGRfQsySJWMmlBQcyRltmlwyJaHBE5mwpyFdW1Ky\noz0SIvZ0nYd+k/u6z5KKe9plS7s4lCFzBtqlCHOwfGZOuKAGCWjCJhHPmdPGcCFL9rXJh+aIPSL2\n/IAUSxhRszyTGc9kQYeUOY6lBHCxVYtHmapjjOLF4zHMpOSGCDWOA680VyG6UyouvXDmoS1hjmOm\nAeqjCg0JbNKuCeiIhgjnK5ObQ0hX9rgLDxtxidfQqXlVJlxM26wb0BXr9DtFxPkiwwKDuGLPhuEv\nEZjWEeoDr2MrcmTGU2qAG9VqSKxjIy2Y1xG1Cv/CXyLwJehYgVts/jSP3F+7/q0fT/+zq/ZzVGtQ\nH6ZF82sQwafNsEGUM6TOw+bSvkNyfYxm2+hKV4mJ8ctj/Pw51AtM3EPP/gAweKNIuoY0tpFyQlVe\nYZBQM0nWEJNQsSCvL4LUup5y7p4xrV5QG1gWrzivPqH2ExLTYcAAgFTaJHad2K6zYe8xzD8mMh2u\n/QGNaJ9ucp/UrjFyB1xUj7HSwErCVvp1FtUxRhpsRW9x7V7QkD7r9jY3o/doSZ+ElIv6M3p2j7as\nYSRhw97FSMQ7vMe62WOkJ3Tp4VEe8AY588BFdad0tcemfcCH8hlnnJBIxq59g442acsmVgVdqS9+\naD5H1fN985ySigsZsqDkpRyRkNHA0qXBVBb0ETborkBAY07MkJSIl+acSipeyOGXHZYzM+bEjFkj\nYymehdQ8kREtjfkN/wYCrK84ISDsa4eb2uNUcr7h75NLzaVM+Vguuac9FlLwQDsowlgW9Inoa4sE\nYSo1lcJALOtiuKst5upYovTF8hkhKlASxtJjhIbAN6TJXJU3Y2XpUmLCtacGNo3nwsO1N5y6EEab\nesMtA2fqEOMZ1nHoNhmPU0NqPG8ORiie/aTiZd5ARNlpLjgYdyi85fuzJkMV1uOSRRUT2UAQm/pw\nhclMuKZU3lB5y6Z1rCUliQqZXXWFRDmfNH9mD/nP1eYRREcRtZ8zX34M6pg+uoUi+CjGZT00G4CJ\n0aiBmzwBPOQXqInxzS28X2BMCx8luDhQ0SXuBcNcMYTlOWTbLN0Jzs1x+RGRZIAlTW6RxhuIyfDV\niBvx1+glb2PU0MreJPWWuTtmqWO65gZFklLpnEV9jHNTmo2HgFL5CXvR1yjrY46KPwI8iTSxK5FA\nUV9S1Zc4zUmkSeVGdGSTUucs/RULd05T2gjCaznkvP4cRBm7A0SVdXubRrRLIi16ss2YEZdcAEpB\nxYWecSanDGXIH/h/zoAGHW1jMLxwH4WwnF2jpGSXPVp06GmDheS852+xpet4YIM+b+lDEsCpsqZ9\nWpoy0IwZOfu6zQ1dZ6AtMs2453c5lSkZEU0ySo0ZaIub2kdRDuSUh36Xu9oml5rH5iXbvktNhUf5\nNb/LExnzTIa8oxt8ag5oasKxzHlDB/S1w0CbTCVnqo5jFmQrS15XYEdTSgIx3aDMpebSQ4LQ0oi+\nWLwKCw3+lmv1PFtkvCbntqREKGJKdg1cOEOpygzltrE4FW7YMC9y1xo+r4WhF9om+FxiUV4XDZbO\n0rWOXIXjOmJBIJvPqoiFt7Sykq5xrKUFyWoy9UZzQcM4dq0ydZZ2VJN7gzFKM6pIjONZ0SD3hi9+\nsEZEuKrEoqx1lvTlZ5NC+bnaPHId4X0RTGnRDahzOo9fYOoScYqdnKA2hi9PJx7Jr5DGNro8xcyO\nyMtDaN/EFafYcoGxbVx7MyR2G2t4P0eKMZ3tv0/lx3hjMETgc6rlS7wvkaSH+hJjUsblx2g1Ii8O\naMX7OISYlEbjPvniKTeaf5dCZ1jb5HD+z+inb2MkoibHSMqtxq9iScnMOgN7l6E/p9AxpZ/QMBs4\nLfE4UrtON74PgKMEYprS5SvmV2hIi4QWA3uPpU5wWjCqnzPyR1zqa/qyzp7sM2fKjAk7cpMGGbHG\nfI0PgsVNBgiGnqzTkgFn9WMURTDUVNzlDhkt5ixJSXmHt5iz4IfyKRMWHJhrDsw5lzLjrt4iJuaP\nzSFtzdjWHQrJmcic9/w9OrR5JSdsYqmBM5lyIQve9jdpSsal5NzzW3iFF2ZILZ4NbXFgrrmlDTJi\nnsk1UyomUrBLxlMZ8VTOyKXitVd2xJKjTKmDGmIVonskCb9fV1gsx+RYUbZJyIh46R37NuAFLUoD\n4WEzsEROKLhQjzdBkL1cQX5GzjLE0VidQIYK1xomRB9aMOJpW8eLImE3CVeXuTfsWE/lLeoN76QV\nD5pLyjpsXm3ruReHa2qhwriOGSQl1x4aJhRTe1HNdlJQrOY6fiRyeuOXLilVqIFdCRCgf8iv/Uye\nx5+rzSOE45LVxlDi3RQ7v0JtFIBAZlUwFYtUcyLbApOgUYorz8FXtNL76Pw1Thfga6JkCzt8gdoG\nOn8Vhr38guri92k030J8RV2eYZKQY8nz59SLA+L2I2blc7rxGyyr1zg/JzId1pI3KHWGYOhH+3g3\nYRA/oKgv2IrfZlx+TmPwLSwxzs9wbkEUb5DaDaztUeucCuXMPyezGxixgRhq2+T1GYP4LUpdMtZD\n1uI3UXXMdExkuxR+REsG5H6Mp+b35RMSTQNvVD25zllnnaVOqbWiRYsDfco+t5jrlIiImQ75v+Vf\nh9ckYqZjJky51HPWWeNN81Uu5ZLvyIdEWB7qLR7oXe77Td7X96goGDKkT4f72uO1hFNOV7ukRMyY\nUlDwNo9W1hXPIQvu+02uZMTvyed807/FE3NGSxJaRKv5D2VTWyykZrQino5wNLEcktMnRgSOmXPP\nBMLqB7rBZ77in+mYr0nGBMeBFnwtMrQImoS+ga7GLKlpipAC1xImTK98aD68rhLukrIphpdVzB9O\n2txOag6dcN/CTJWFN6wJNFcYwbsWfm/eIAFeTztMipRIPO9mOS+nHV6voMlv2IjndbgGvdOa86A5\nBxWeVpaTvMGWGLpRxaiOmHvDWR6mUy1wUSbsNALLth9V9OOKWDTkXIAD/xdbtH+T69/6VO3/e1kC\nKNZriTVNjFhEDXV3C2yKqYoQivvRUU1riDsYV0GUISpUfk6a3ERdTl0cYxu71MuXmPVfxlZz5vnn\nZK238fWYojoiTW9RF0egnkZyE2yCL6+J43Wi/rvU+RFxvENdX5JEmzg3I7EDlu6MNLlNXr4mNl1K\ncio/JakcC3dGK73HuHrOon5Nw6whJkbdnNS2iVRI7ADUM/KHGF+x0GsiSelGd2iadUrmVDpFUWbu\nlKlek9Kg0iWZdFijQVt6JGQsNLhb1sweE72iIc1wPSHlmitAaUqLhmSsaZvnckyTGBFDhzaXMqSh\nMUe8JsYQIWyySV92KFmAyAqjKPToUlCwlIKetlhIwaWMySk5N1PapAy5ZkzOQkruaA8RIaNBiwAY\nuqdr5JSMpaBA2dEuZzJljx7vcJsmUEmI3td4jimJUBYoG5qCKNdScrEKtM2ouUvYfL6oBWNqFirc\np8kfuiU3TcxMKmLfoCeWBoYJjtvG0LSOJsJrdfQENmNHJJ6hs7SMclpbxlXCIKnI1JIa5YUTMuto\nClxXEbutBfs2QIj7jZxElLXIc+hCIM8hFGqYrq4jHeMZxBWI56KOaBhlXkdULuLt5pKXRYOW9VxV\nCWVtyaKa8QlkXYiBfNWe3TURX/1zI1Z/+fr/nfTpL1sLH2oBQkRVXwRmh5hAE/tRF0ZAXBFqGXEP\nFY/beg+qGVV9Qdx+QPgiQ+mucK3NQCebHqEup7n17zGbfR9fT8n9EOcXOF0Stx+Rl69RX3NQfDs4\nXuaHtDpfJ85uE9seKsLYvUbiFpndYbb8kNgERUJRX9KxN8OMg2lhpMFUL8lZUvsFlZvQjm4wdcdk\n0se7GcHRWnCmBwyih9R+RuVHDOtn1PWIXnSfjDZtGTCQbfrpWwxliMdxM/oaTTMgNm0UZd3c5MK/\nIpEGPdmkkooxY3Zljx25jdeaCy4oWPJ1vobBcME1cxY4PEsW3OIWQxZs6yYZLV7whMfynFPOMYTu\nwJ+YFysS2A1yqWjSJMZyX+/wyN/iU7mioOZUljhVnsmIgpJP5ZSJLDmm4JUMyaUmXbVthzJjjwFH\nMuYVhxzKiBvapaMxCcIGEQuEGZ4/Yc5nWvDYlfw70mSqnnUi/oWf08DwfhTasILnBUu+YRt8Rxe8\nrA2VKcjVcaY1LRMekJGHV1oTE0hcialxwM24xovnQex4K8upVfjCwZkT9i3Mq5ineYNOo+B+5Dlw\nwrUXhnXEpI7wKCNv6FvP0bTDi2mHpvGc5AkTZ3FqGPnA9BhVCTfTgkZc4SWE8SpRbjSWDNKSwht6\nuwIqOPiSlv4P+OBn9iz+3J08ACJJMBJjTThJGOeh0UfqEqlzNFsPYJ96ipgYvzgi8hFaXmFtF6pR\nmAupF8TJDhI1MWrJl4+JojV0eYQlARS0xpgG1jSp8gOSeBPvFvTjO5TFa5bVIbFTFotPmPljqvqU\nzAyINMFEPQwQZfvBaavBFGtJKf2YZXWMp2IreoSIMKlfoepo2i1m/oyFv6Jp13F+Tps+kaR4HJHt\ncu6fY9Sz9JcIhrkO6ZgtPq9/nzXWacoahR9x4V9xpUfcS79F6UcsdUpLOqshrYS2dLjknHVzm9S0\neaVPySQj15wWTbp0KVnipGZTtjAYdtihYMlCFgwJYqpN7fPH5iVv6V0cob6RkXAi14xkTpcGc2ZU\nUnFb11hKTp+UPi1yKWiTEYlwoEt+Xe9xIWNamtChwZWZ8ENmdFBy8RzJkgjDY+ZsEFNJTYOIbU05\n0ZpfkQEbWH6dm/yfnHPTWF6vYFFGPIowU08i0BHLuZQMvfAoEiJgjFsVK4OUeuiFu8YyA5oCA4l4\nVlt6xjNS4dIZ3raWEw0j44gy8sL9pMaZQPOKCR2ZYR2xEwed5ryOGUSeRBQXOSLrmdcxWVRzM66Z\neMPBrEMnCZtDDqQGhs6QuwjvhUoNvbiiazx+pZt8mwbX1Fjgm3Lvx3rwfiFOHgALf43X4ss31QK8\nC29iQT2+0YWoTT1/inTuoVGKSTfQ/sPgso2bSNwBX6KTZ4hENNJ7mKiL9wVR9x0wMYldI4r6eL8k\nsgGEHABA5yCWdrzPsHocHLVakNoNPJBXr5ktPqRyY/A1k8WHnFdPyOI7qCiIJWdK396m0pxX1XdZ\nsmCiF0zdCYqha3ZZuHMqDe6ayHQQk7GoD3nQ+m369hYxKQI0pM2Zf8YON/DqGOsZr3lKTza5G/0y\nnxe/y7F/xqa5y1wnzHSEIWWkl6yzxaH7mJE/oUuLvvbpS58pU07klJkseFO+yisOec5LnvOMjCYL\n5nTIuKVbXMiIr/qbHMhrzmRKteoiPNI7DCkZsWQuJQdyzUTm3NAdcqmYsSTBUlIgCvvS5MxckmjM\nVEo+k2ueM+MN+VPA0CPtEiPcloRLyQEh1ohrSu5KwucyYiEVH5sjHpmIdOX8e2gi3tE17mubtgiB\nvRWCbHctXKjnlfe0JZxMligTDRCfoToKb2hj8T7iG7EQY/h83GXuIiZ4rutgrN0lZuENIy/UqzmO\nimCzv51UbJnA2BDrsOJ5njc4nXa428hRlPEqci+itOISgHZcEQMbUUXuIlpxxW4jZ1oFzsdvRd8k\nWU2TPiFHgK787Ood8HO6eRgsM3/+JXrQuwV2fk7dXkNcAYCdnUJ+StR+E6nmSDnFtbcw81O0GoMr\nAxdk/RHz4gmadHD1GNfewg7ex00/xUiI1bt6gtOc2k8wkmJsizTeY+qOkHhA2+5iEDaS92g230Uw\ntLq/wtxfEkmbIn/JIPsqfbPLtPyMtHE3bDQ0iSTj2r1gw9ykyxob9iFTRmzGb/Fcg/x6N/mAZrTN\nSfk9ivqMRLrMFn9CbPtM9RrBsha9gcXitMZKzFRHZNpgrfEeVhLaNFmXbeb+PJDKzS5LZkFBSUKH\nHhahqz2uuSSmQY8+D3iEx1Hpkn3d4w77FKtfA+0zZM6JXFKIJyLiRKa87x8SYynImTDhlra4qetM\npaCnKYoylxkP/C0uZcmOdvlCpqzR5iUzCq15LnNSLC0se9oAYCo5G9rgM5lS4WmuIvgCXFNSiuOp\n1jzUHo/8LlaDp9UAdyTBIJQUzCk5Vc9XtMcYx5My5FyS1Ws1V1PaI2cYSOhcbEpC1zqG6jiUnI99\nxRJltz3nN1OhwHMjcrwlGc+842yZcVxbDiZhGMysuiGReD4pLZl1pKLMvCGynq32LCAKk5K1pKRU\n4WjRpBlXnOcN1qzDAWdVHJy0q4xLI66pVfg/6t8nWRVLf+Rn+Yd882f6HP5cXlsA2mYHlTAMI2JY\nlq/xdz5AtBEQhVGMOI9vbyGLc7S5jeQjKEdIY5N8+hGxHeCrKzKzicsPmVQvaLoMwYJbYLI9XHVF\nmuxhsJQ6o6jPcW5MbLskpsd18TGd7d9mNPsuzk2w3pH1vs5k/Lv000d4Lah0QWy6gIZx7u5XMMU1\nlZ9R6oy1+AHqCy71NVuNX2ZcPcWqZ8vcZqlDRu4VnWiXTNa48i9pm3WSaJ1C5yQKc8ZhoEsgoUEs\nQbDkqLmqn3HlX5GtEIJts0ahSw454KY8wFFSa8lCgk5iyQKDoSktagpOOCGSmC49SoLyMcYQScRY\nxgHnT8yW9lhKwR4bvJAj9nWXihqL5cwE85ziKcVTITyXK2ZMcWI5kjF/yz/gsTlhQk0qsKkZKYaG\nJNzTbfIVy2MsBRdUHPmghfSilHju0OJQcrbFUonyhQx5ScE79LimZAl85Dy71jCViitVpiYnVUvb\n1mxKwpF6jMCWRPxx7YNw2hr6RvlhBQ4l1zA4ttTgpC2BL2qIjOekDu3eSGA7LQKAJ6mYexNARkYp\nESZ1jADbkacAOqLUAi2jdEyoVRQqpJFjVsfE1pOYsPlM65jUeh4kNefOEhulPFM6XaVUQ8uE9xb4\nVbn9Yz94P8215ed286h1QWa3qfwUQ0Ri+yS5QcQgzmHya8Q2EJsCBlNOAUVU0Wwz1DrwSDml2vs6\nZnpCq/kWRfGSON5A6xmuPCeSNovyKdak2P3fIr/61wiOhTslNR06jTcRSWjSo6rOiE0LLa8p/ZAs\nuYNzExbujNqNyJI98AX5/Am1zumt/SY+P0IQai0400Oq6pTd5Ks0o5u8qr/PXMdMZUrqhYk/piPr\ndBqPmBSf8m39Vzw071Kw4EA/oy1rfMYTUjWcywUpCZEkdGVAx2xTU/CH8sd0NaGz8pXOdcSpnK5E\nUoaUlAYNjjhkyTLE5TEsCLH95+aEITNiIKZBqoaFFMQE8/w5Q+7qDV7KCXNZ8lDeZMYwpIcl533/\nBikhit2jgcdxgx5XMmIhJW/rJgYlI6JNgx4Zf2QO2aRBTkVGjJOaLbE4Ud7XLU5kzl3WeFM3ifCM\nJeeudjgkpyOQYEgFdowwoeJYg5bxzMNSPO+ZjApPtsq1jHA0jIIoJw7GK5H1hvVEq40jNYE4MVPD\nbDXh2baBUD6sYrwogtC0nrG3tG2ohRwvWjTjit9IDF845Z+OCdYAACAASURBVKqOua4SulHNcZGy\nGztyYGA9p2XCB82CK2dIRelZjzGetcjxtEiJJFDHJtKkl1TUhGJpJPCbZpetlaP4x1m/UJsHgKgL\ncxASAYI1GT4bIOUiAJBXeRdRj5Yj3OB+GF8vR4gvwS2p6yvM6AW284B88n0iSdF6gmz9Msvx98ia\nbxLHm5T1JWnhSNJdErtOXV9T+jHWK1pPAnEdw7w+IjEt0mibZfUaY9LQqTFtzqtPaNsbiAjn7jlZ\nVWMkxVHzkf8Ob5p3ESzX/ojCnXGz8U1il9ORAWO9YGB2GekZeX1Ky2yxrk1S0yGVHs5PSEhYMmPP\n3GcnepOMjFhSYmlQUrCevk+zXuAEHDWOgCS8kiFbbHAqFxRSEmEYyQwRYU9usSY7GJREUiI8a9rG\niceq0KRJi4yImIlM6dKjISmHck2XBs/kgC4ZV8zokPLEHAdtJAUTKbmSmn3tU4gLGg08XTJeyJgE\n+FSuuKNdXsqMewxwCB8zAwlR+LEs2SFlm01emhOmOCpxlOLYIeGZLJnhuS8bPGECKnxAF7ElsfEY\n4BYZ39clTYFbpFhRrrzhgbVU4rhhhNe1oWM9h3VE7i09oywRRIWduEYJg2mvasNOHNCD4RQgdIxS\nqUEJORUjCrZkvBJfL+qYXlyR+4jdyDH0wqs8o5+UHFUxyzpiK6l5WQSPzbCKaVlH7kPsv5uEDkzL\nhDCBV+F35P2f6MH7hds8YtPiXBe0JQ61CFWKG3fAtnDNHraYI/klvrWNqZaICoIJGwfKbP4habyH\nc+OgeWzuI67E2BbGedJkLxRj65yqOmVaH2LrRXDbuoJVPjPwUP2SJN5CqRhWTwNrItrE+xlpug++\npG22sKZD5Sf07B5zd0YSDZjXRzTJcKLsNL9FU9OghPBLlswZRPfB50SS0rTrjPwJbdOn1BC7Vq0p\ndYFIzDY38KJUOsdTUWnO9+UHqObk9SlNaTOQnaCbkJREQjnxpRzj8OzpDgkpfRnQ1oxIIqZ6zaWE\nlrLB0KdPTcUn5oR93SIlYyjXFNQhaMeCG6xRUNCj++UsRo8mSylXhUpYSs2+tjESIXiuZcFD9hgw\nYMaSPd3gtYwYS8mA4K09lyX7kvFAB5zKnLd1gKIcyxirhi26XMk8DLQLLPFkxLxgzKZYTtWzYYLS\nMgZ6EvMJC2IRMhEW4sgwLMVx4IRNMRhR+tZz7gzr1rMTOa69MPaWe3FgpSU+4grluEwZrPy251XC\nm7FnqvCrtsGTWtlMStYix0mZsBFXHC3atJKS9cixH9d8b9Eki2r6cU2h4brTi2umLmJWJTxIasYK\nPevoWsfvmJt8upJw1QQVRE+ED9j/iR68X7jNo9Yla2aAkVVbFU+68BA3iRajgCasJisbXITUOb44\nQ9u3cZPHZK23EIlwfoYxKRRDxtXnTKuXmGpO1LoHvqQsXtHo/wpRMcZrSdx5B1eckK39bcR7xsVj\nsugGi+oVRg3NaIuZOyGLdrCmiboFcbyOtS1Kd43BBFcrFq8FY3/KVvIOpbtiWj7nlT6mLxsUTBAV\nYgmKxWa0w2X1GZv2Nq/dpzSlx1BPVmPkMGfENRdMdUisBktMN7pF38WkkjJlxEhGDPWMsSyCw0UM\nGRk9OrQ05am8BqmZMaVLl3POGMuE1zLkju4SYTmXS95LfhPnLljKglJyThhyX28xkjELSgRF1FJL\nzblMaJGQU9AkYyRLnCgP/Q6V1MxZMKLAiRLhmTMPeARZkiIspA6eGG3hxJOo4VAmpFgWUlGLZ1ub\n/AkzclkwU09fIsbq8eI5x9EVoVRlirBHSpuIA625pua4irkRhejdXTKe+BIjkBmoxGMFTl0ItIko\nExVEgpf2iyrCGE+8wgoa4xk5y7oJlPaJFzrWM5OaC2doiDBXoWuUgVU0ClOhI2eZKbSiGr8yu3ln\nSK2nXEXt7zZyagmBvIH1OIGPdRq+dhXi8wj/iXyLn5SS/gu3eQBEJAgGT4AkWyzOTTG2E9qzkoaT\nhq/QaoK095F6GeZBxEBjE+tB3QJrWyTRBtZXRKaFVBPU58TRGnV+gCAk8S7F4lOy1ruwPCUvX9Cw\nG8TRIET2JSLNHpBKxqT4gizeo3bXVPUVVlKsJMzcMQ1pc+mf0zKbYXNQT6U5qTTZsg+IpAka2JW1\nX6DiuXYv6ZotItPk2h+yE71BRkY3usWlf8lAttm0dxhxRkMyKgoKP6ZgTt/e5IiXJBrRJYTNTmXI\nPe5ikBW3S/lK9C3m/pw1NhgTYv0zKbitmywltBJrAeMLNtnhgNc4IKdkQItaag5kwoCUTBr06QEV\nNZ6BdlmnR0+zVdEVPpcr9nUNxCMSZNYtEhJiFlQMpeCeDripA35gLmiqRcXT0RQDrNHkTOa8Imdf\nErqahdcCluLYIaUpQgwUBI3CVCpKoDY1RuC2hW0SYgIK0Yly4oX3TUYinqGGWsdZHdGxSiJKroZN\nEx7ysypmzXocghElMZ6mBNq3FWXbwGdFTOEt3agmNfrl30uMZ1gnqyuUMHERN+Kal8smO42CWJSK\nAFM+KRp4UXJnSa3j5bRDPykRASPhezVF+Do/fqH0R+sXZs7jz65Cp4hE4ejurgMXo7aAIJMX/w97\nbxJj6ZKe5z1fxD+d+eSclVNlVd2h6t7bd+pukU1SFEVYLdOGAcNaeGNDguFZsGB5Za+98d6GVt56\nZxgWLBqeaJkim+hmN3u4dceaq3IeTubJM/5TxOdFHJJNQrLNHkia3bGpylOFk5nIjO+P+L73fV7w\nBZp2gv6jtQvVDObnmGQlSM6nL4N3pbGNxk1M3KOR7FO565C1Ei/zavq/Yk2LON1d9DZSMDEX89+j\n2X6f3F2Qly9J032iqIcrLojTHSKJMVGHyHbw1DwufotB+TFLG38HY1JuRe9hEIwaap2xFN1FxTBx\nJ9y4lzSiWwgskt7mgdRu16j8GEtE7q+Y6pB5fcaWeZORXvLcP2RF1xAM69HblDpnxd4hdwM+sH+L\nffOAipp11lmmxakeMNBzTvQYxfOs/jZLshaKj9REErOhS6zLNj3tMpAbcmaccMBAj5hIwZgpIyl5\nKse0tMGX/S7HzEg14oYJFktbM3LJKSk4kQHbus6MwOXMpUBRNrSHw/FKhuSEa+Ev+NfwKJ+bU7a1\nQSTwsc7p0qBHwqmMiBE2CcXkQqYsaxLej4QzCt7QPgXKniR4lGv11FLzmraIEGZ4CpRrrRhQc1ob\ncm94oXM+qqGLIQU2Y8fYGT6etNm3wpV61gzcSUrepMWTPCUTZeosV17oGM+KgT7BQrGUlDQXJ5NV\nEcQ4ruuIlagmFeVupAynLToSojPXRHgybQUzXRWTRRW5t+ykBZUK++0J7UX0QukNtQr//k95PPvD\n6//3Jw9FERHCgMtjJcOYhPntLxHPSzARLusFGFA1QcQGD0naJ7JdqvI0KEjjPj4/Ce5aXwduSD3F\nuxH97B2u599hVr4gi9YQEzOefp92tIW1bYx3+DglUoOq4vyEyHRwfsrx/Bu0zAqxadM3W0z8OW3t\nU1cXeK2JoyUMkNkNJu4wgILMMuDwWjH0J8QS04y2acky2JTa34QMFvHU5GTSZuBfsW728RT0zBaK\n47n7mJ4Ete1H8gnXerbwf0wpKejRoS09GtKiSUZODiIccESMoUWLAUP69DiRY2YyxwBL2mPXvM5I\nr1nRLi1SemT0tcO6bFFJSVMNn5lzdrRHhw6RpHzEKbE4xtS0iXlhBkRYbtHnUiass8qJDFnWjKEU\nOODUDJlKwZaGeMoISyUVXSKGUjCi5lKVe7TokfEZU3okiCgDKnIUJzW3aPIDP4fF0znGcC0FY5Qu\nwqU6ViTikYP+Yqpy1yQUC4iyQUhEmSmsJ0GM9tx7VJTDOuald+wlIYlupDDzwXr/vVGHSVTSj2qu\nXUTLAKI8zVPyOuLNrKAWGDrLpRfaaQnGkRrPaRWz35gTG6UV1Qihy5YIfPpynY2lCYbQmLUSxru/\n+mcYz/7w+pm8tkDofcTSCmNSatRXZDMXslWSFtH1M3xnC806MHmFX75PffENpLWLTdeYTr+L9Z6o\neRt8SV2e47UAMcTNfQShrM5Ybv0yx7N/SlN6WEmIoyW8z4kau7j8gFH1nNqPiE2bur7GmhbGF7SS\ne0yq55R6w3Mek1RjPvffZzd+l0pqTuuHzN0pPbuDowwAHomIJCMmYq4jBv6AjBTRmpE/JZKYoZ5h\nMZxwQF+WQzFTSKTJC/2M1+NfZOavudELtmWbtjbomVViNZzJOVMp6WmHR/IUFUdMRErGjYw4kgFK\nSV+7NGiSktCmzaa5TV82OPXP6NClouRKRkREbLLJY3nMNjscyDFOHD1tcC5XoPAOt+nQRqWikmqh\nRVG+ywARwTGlxPO27nMgl9SifK5z5uL4ZX2TSspwIlmEQLdIGEpBQwxeAjGsKcJTcvZpkonlREsq\n4EYKmiIUqmxIzBIJDuVcPVOUJoYnXumaYCxbM8L3SoOI8rqJGeKYhJxNLl3MkIpCDV2jXNQRbyU1\nEzzfn2XcbxQY8QxcxJ3GnKfTNu244rXYc1DGzFS4FVdUAodlSj+qKLwhMcqSdQtdiGBtsOVf1jEd\nA8vWceViGkbp9WYki/6HCtQIf9c8oEPzR9p4P7PFQ5BgcdecWNoogbTuuzsYV4IYzHwIqhC18dcP\nifrvUl//AeIdjcbrqC+RdAVRxUQ94riPuhniPcampGaFsnxFy64wdkfEtsu8OiZNd/DlGdY0mLlT\nOtEeM3dM2ryHqy8p/DgIuvyQTvYma7rCyJ/RpUtT+gyrR6zHb2Pw5P4mENKIOfaPsOpJbJ/M9OjJ\nJjO9JiJloleUUpJKi8wuY1XJdc4FJ0z8JRkZLenh/YxUGgQcDRSEiUzbrNCmw7pscqoHrLJEQhq4\nGXKLbdljpBcIMJYZX5gjPCUdOoz1mkNeMJciFAXxdLVNX5Y5lAMSEtCaJXoMGbNEa9EkndGlyYmc\nMafkSuaAoRbHNk3ua2CW3qLDUEZ48cQqrEiHdbU8lwuOZMxEKna1w0hKHNCRiCMtmOBR8bSIWCPm\nWOYcUlEBWxKzrx3GUlGI53Xt8pmM2STjiQuaDlEDovSIMQJXqnhRuhKCqHOULYmJjOcXTcpj71i3\njqE37EfKsYdrZ7mXVjQELmpLxzoOyozdLMeq4UmZ0ItCjs1VHdGNaloLcPFVmbKVlFzUEarCsErC\nQwuhFwV1abkY7f69xm/wxH8Bix5LrcGT83V58CNvvJ/Z4gHgqbGLqYQSku5jn+CbyyARahMwBlPN\nMMkyfvqUONunqs6Reo6qQ4vz4K6NMryboT7H2Cbz/BHqc6xpY4lpxXskzbtBM0JNlG6hvsD5MY3e\nV5jPn6L1hIk7ZTV9j9PimyQak5g2afN1GtqgYZaIbZ/a39BpfonELpOaLpUf4anYTN5nWL+ibVZD\nwxRHO7qFiKVt1khIuOCIvfgrwcYvKR16HMshTU0BeMEzap0BoOKpqbjhilM94ogTpox4YL/KSC9w\nVDSlS8EMiyHTmLZ0WNIeW7rCQIasynLwguDZlT2OOSfTlG+bYwpGrGgPJzWPzSlDmbCpS3zfHHMp\nY2IMhcx4JSOsCDt+GSeKF0eCJSVmIlMuZUolnktyrBhKSm6kIhbY1Q5dYpqkKJ5VbXMiYxIxIFCF\ncydzcfSJuVFHRwwH3jE0OW9qlxVSjmUSmKbiqUWJ1VCJ5wPT4Luu4tIZvhpFvGGaiFSceuXMG8Q4\nJihWAuw4FUhEmC9euyhTrHWMveFW5LnwloZ4pt6yHynGVlxUMe/GcOahYTybkfJyHghju2mFSgi0\nLtXSiWp2Y89pbYkEJj7Y/T91j7ESbPxvmJixev5t3qAp7R954/1MFw9QEmnhqLEmDaNXV+BW7mJn\no0BUL0ZQXELrFoYUba5iyhk2uwW+QEyCiTpU81dY0/oj4JBqTda6j4naQYKerHM9+V2M1phkmXn+\nBEvEcf0Jtrgkliaeim76BtY0ackSTuc89X+AL46JMVRacFV9joqnrE5JaDJzR4z8OQ1ZQrWgYEpE\nTLf1AWV1AghDf4RZiOOc5sz8Gao1lVShgKqhKR2MZHRocSWX3I0+5Ng/A4E9eZMNe5c9+zrqi0W8\nY01belxzgRJzxgFePAUFCSmPzEtSLDUlx+aKG6YsaZsEuJIxPZq8kglrpCjQJmTJxiIIHovhiczY\npwt41ujipQ7TBSk4lBkxjs9lQp+YKRXv+11O5YYcYUsbZGK5lpwlmpTUfFsnTMyEV97RlxDgnBBi\nFjIMA6lIBEZ4vipdmhrxiClTaobi6IlhiYRIYEmgKxYDzKXi9SgMOp9riYrnUZlQeMNa5KjUEIsy\nxfNxkRHbmgtnWTFKjvIgUg5qy+kiuGkr9qxHnvPakIuSWc/zOqJjXbiaiHJRJrzVmjJnkcss0F+M\nbEdemLuYblTTs547ss0NY4QQJXmioXD9urz9Y228n8lpyw+vmQ4IbgFwfo5qRXz0B4DC/CJkz6Yr\nSH6D2hg3+H0k7lPPnyNYqvoSzZYRiRGTgdZE6SZRtESVH4PNqP0YfLGIeewFnCER4NiJ3guRDNE6\nVlLUV3gXmCClTtiSe3TNJs3kHhalEs+VTBCF6+oxhpgVu48IODwN6TL1l5xN/i8KSo7cpxQ6DigC\niViO7gTil6TMdMolAxRHqXOMOkqdsqRLnNRf0KPHLW5T6Az1BbP6hEiFib8kMi2mTFiVW4gWbOgm\nI6ZMmHEql7yjb/DAfEhLW7wnX2ZH11A8DWlzS5dpY/hQb+FQtjQERxUoHnig+yyR8Tf9Ds9kwInM\nMWrIyDBE1Dj2adMi4x3toWr4ir/LkVzwQivahGCnEse6thgx53cY0jKODRp8KB0qjbmrXW5pk9/m\nghupmaiyTspxFXHBnFPJyUQpcWQI1zg+0jkVnjnCDMe3XM2uJDyphXu6gsUzUmgbzy9kjokKKwbu\n0mBVLHeTkhtnaRvPXOF25JkTZOQAe7GjwvNJnuAlqFlHdcyScfSMMlkUmNQ6ZkBf4KqOaRplUCUk\nxjOvI1aSgkIFEA45+qNNKwREwN/j3T/fjbZYf6WKhywUCyB4LajdEO8muGYrBD7ZNNj2tUZUsNES\nxA1Y0NXT9pco5y8xtgNRRpTdBjdDFKJoKSTTAZP5J7TbX2ZSH1D6CY3lv8F19ZhB/YS5GyDqsZJi\nJKJyI1Lp0bbbdO0txv6MQfE9Or1f43bj11nRDkZSZjpEcbxyD/HqGLsTMunSjfaISbn2RzhqbiXv\nkfshteZk0qeQisd8wY3c0NYGK3KLWIKnZSADbuSGZXOLjtnkSk8Y6QUjf8qcMSv2Nt82n/IN/X2+\n4CkN+rSkw3fMI0rKQAvTHrlOmPhLWtLjhf+EUiomjBnrmB597nKXbXY5lRETxmzoahjBUpLSQBAm\nMucdv8uONkgl5ooRFs8Yx5p2UYRcKu7rJgdyRoeMf033uetXGTMjbBVhTzf427rJvja57deYSMmS\nKKeLqIWGwO/XFesSUaD8RtTktvbI8SwR0VzY7e+SclciWhi+U0IDy2+YHo99zTuR5ffljBrljsTs\nR8orH9LbblT5XT/jYRWEXu/FStsob5mEqQoZoUeSmFBAHo47rMRBCm+BflSRWYdBSa3j0gUex9hZ\nDmrLclxyWcVBLyJKHDmGVci3L/WPM1wTUQoVrlxQ/P5FrL9C15awPDWRJAiWRS+aOJ9AcyOERdU5\nRC3q2VNsuombvyKyPXT5DZgP0OKMKF1nNv0Bke2HkOtoJeSnuBHqRrTaH1DOHmMlJbFLaDGkcNcs\nRXvkOmTuL3BaoFpR64S0+RpX5UOm9QmJadOxt7ic/z5Ns4z6OQ27RtMuU/kxS2aHoT9ktf3LlPUF\nglLqlFvxe0QouRvQMktY28JKQksTIvXhSS4WqxYECp2yIuvMmJNJk3M9ZlU2KKXCSc2QKeicMwb8\nzeg3sH5OwQSnNRMm7LHNa9EvMPTHnMolnpIGTUaMcHhKcXRpcilXoJ4LzplISLs9k2tu6yqvzDVX\nDEmJQgqu1KzSp02XQ7nkQuaBAWIu2dEVnsoVMQ6D4UymFBScmjG1wBMt2CRhLDPGkrPNKt82h+Q4\n8oVN4FBm9LDcMoYKZUkTPpUJZxRsSswMz7FXGqKcU3OqykhD7+GehPGwFb9QjCgNMVyoZ6iei9qy\nHYWm6XfzhA8TeOXgSRnRtY4fVIZdC5caBGJjZ6nEk6tlyTpWDEFBaoLo67xIeZDWxOK5qGPGRcqX\nGgUTL/RtCLReNsq1C72PN0yP0sxRARFoEBq8/5n5JcxP4AzwM39tgWCsKvyQSid4dVR+hHMTZH4d\nVKX1DC2viLIdtJ4iURfVEnNzQJ2/JOq+gyuvSO0aWo1Ikz2MbeCqIcY7YrvE8eg3mbtzsuQOqjVx\n+3Xado00vUM/vo/H04n26PR+Fa+Oy8k/w2DZbv9tWmaV0o+Y+yHe5zTj2zidM3NnDP0piV1i1d7j\n8+k/DpkvZgmHZ+xe0bE7ZIt+xrB6ycvyWzitUTGsm9v0WEdEWIlex0iQwG/KbSo/Yde8wQuesWr2\nuWJAW2OuuGKVNgf191km6EEqHO/o61iFL6pvUFGSErHCGscc8lKuWdc1YoRncsoOd0jJiDDEGAzK\njq7whTljiqNLQkPD/yjx/J/yiu/IF0wped2vciQXTHAkpKyQcCgTvidDmhphEJa0wblW/B19m21d\noxkujHxLDlgjYU/b1Hi2tMkWKQ7lUEv2tMmZ5LxGgyUR4kVPpMIzQzmsg/DLSyB5faYzIoSBKufe\n89IrXSwtgUyEryae29rgm1WAMSfiiUTZS0pmKkQoBw76i1iGWpS+8SwnBakNkedGlIkXDvLgY5qr\n8qpMuckzfrkz48QJOza4dodVzKmzNIynLcoJwz+Kk6xUyPG0MNi/wOf/X7mTB7C4bUNi+4APea7E\nzN75MtE8xvg6aClMMNPV1QVoSdR+g3ryBab7OrPJ94hsm1n+CCsxXnOMNLDxCk3pk8WbzMpHlH5C\nnj8itkuIOsYMib0nsm2Mr8GXWGIsEYldJm7cYZB/l7X4ATf1M8b+lF50BysJERFGBbENYleRmh4F\nU1TnPOMRPVnGElNokI33zSZWIhSPUpOZPpn08VQM/BFN6fOCR1TkFDriXIbkesVd3iSVBijsmrs0\npMOlHnEtY56YE2IMMRE5OTNxTMlZ1i5zccR41ljhRC5wWCw5T+WEtgQJ14VMSLHs6QZTmZBguZYZ\nLVJus822ZmREXErOnq5QSMmO9vk985IMQ0tj3mGNKQV/CP7ep0PXrPKKQ46Y8UKmfEXvcC1jFE8u\nnmspOaNieYH0WSYhxXKNskWL7+qMIZ62CDuSYk2FCLRE2JSIRGCKUqGsGcMHdHnGnIYIq4vx7Uda\n0jCeGuEtm/DYOypvuR/BpRO2I0etMVfOsBtXnNYxt2PHQR1k6K+KjLtxTWQdG7HjRRWxGVcspSWv\nastbEXxRC1bAmDDRsYviVRK4pABWhAT49/gXZ8/+WdfP+LTlTy5BMGIBj5GY2o1oXI7wnW1MOUGN\nQSTGFWdE6RbS2MCNPyduvQE2JfEpRXVEM71HVQ+ITR8bL5MXT0jTO5T1BVm8Re0nnOpLMo2JTZdU\nYwqdIuq4qZ+TmQ6VgW58B2MSKndDx6xjow7D6hmWGO9nwR9ju9R+hOKxWMb+lIa0saRUOl4kuEHb\nbpP7IUc8o0GDz3jEGiuc6xGiFU5zUkk55pCuNtky97DAGqtkmjLgnAM5ICXlOc/YlFuUOieRjD3d\nxOC5lhu22cbgyYgYyoiBjHiHB1xxwdBMWafNFWMMhjkFc2oecBurcGqu6WnGR3JFC8tUSkoKEiyf\nm0tKPGtk1NScmBElcEu73NNtahyV1DgcZzIjREgekxCzo12sOEpmZMSowJa22aQNUjHGsSQRKoqi\nnFPyqc55w1juSZMbqVjRlIFUbBDRIGKw8EVtkfDIO7aM5SOd0zewoU2OpaCBZU7Ns6LB+1nFUGt2\nrOHhLGUeVRijLInhWD0zb6kIgKBcDUY8N3XE+1nF09ryIILfGXZ5vzVnBoycpbcQhJ3UET3rsBLA\nQHizMN2Fnk/LgAO+yjLbrP9E9gr8vHj8iaUoBhueylpjpQHqiU0wnLnpM4xto/UI70ZIPcMma3gt\nqcefYJv7JLZHWR4jKFG8hFuMVY16rDTJy5dk0RqRq1CtafV+gfHsB/SytxlXoXBEphnk6xRcl1/w\nsvwWHdrM6iM2mr9CVYdYyxt3RGL61H7E2J+RmT43ek4mLQCaZolLf4BBmLgT1uIHpN6SRWt0fMQL\nnlOTs8wqr3jKKefc43VmknPEC6wawLMSvUZHVsDPWTd7eA0alxWzzbLZITUNch0TE+NwdOnjqWlI\nmwkjHskhm9pnQs6Ikt1FUv0KXTa0x5FcMjZztvwKgrJMhENYJnwfiKeQil/T93nOIZ8xZiwVqyRs\n6hJP5IQ+DR6aC2qEDhEH5LzJOhnCp+aCPe0zoaBDwrXkXEhOh+BbuZGQdl8v1KBeHGvEtMSypA1E\nHIXUlCiC5Q1dYpWEWhxfaI4RmOL4dNzhXlYxFMX5iEhqagkwZIyjIUIhnv00sDt6xnPiLJnAclRx\nywo5Ss/AYCEY2zaGx2XENcr95pwa5dxFxBK4H2MNpw5deGITURIj4bdZoCHB3BcD/zpf/Ynskz9c\nPy8ef2rVFCTSCIVEEsBj6hy3+jaRj8AVaD3Gxn2MyajLc8RXRMkqWl7i3YwoWcNISl4856Z8TC99\nwMydYLQmkqAFscRk0RrT2ccLsnvCXG8wqsz1ikgyDAm9xjsh/ChaJa8H4HOMZFiJmPhLVtMvcVM9\n5YhDtu1bQY6OBI5HdIvEK7UWXMoFa2YfQZm4IFG/E32FtmZMGdFjiZKSAZdss8M1I/p0ySmIiSh0\niJUIQRnKhBYprzjG+xEHPOeluWCDJcAzlBuO5ZoINcTcHQAAIABJREFUR5OML8tXKJhjFtCeiJiB\nGTGnoJCCHk08ni5tTuWK1gI/3KVJRck2e5zKJakqhZS0MWRiWNYmE5niUY7NmBThleT0JSYROJAb\n1mnxVCY4cRxLwVhKYgxDKsZSMkdYpcmNFPQl5qnM2SDliZY804rKFNRAh4gJjjGOuRRcS8Ghd/SM\nMPSG+yZmM8t57CDH0zaBoZFg6FnHnok5VIeiXCiL60WgeFmgIcJ4AU5OBWYqTJ1lgGcvqblyEeuR\n5zvjDs3Ih5AmURIRVqyjEijV8K+aHZ5xg4OgQZdQOP4Dfhn5Cbcrf94w/VNLEAoN92KvOZUfBWv8\n2ffRpIuvR5ioj8Q9vJsQxWuolmi6gqQhglLdjHl9Sprs0LLrGElpbv8bWNNdFCTD3A9QrfDqSO06\ng/IjMk1IzRI9exdPxdA9p8hf4o0JZjqJwrRGmggxJXP+Sf6P8Or4UvRrXFSfMvTHNOwmM3/JdfWI\nTnybgjm3eZ0/qP8XKj+lZ3cCX9VdE0mDE4440yN22eVt89e40Uu62iCRNi1aXPljLAGQfKKH3JXX\nKKWmoZBKi1dyzS3f54TT4MzVTVa1xZScSCNO/DOeyAFT5nS0TSklVsOQfE+3uGTMM7nhY/OSGEus\noWhbNdzW24x0wC3t0qTBcxmTEfOBv8eYkhJHh5QJgRj+Og2axOxrQAqdyYiRKscUvK19huqJNBDN\nS4WeCJZgmovV0lHLK+asGzgrsjCJwpNpxIGD+zSp8TzxjmUjLGGZeeELX3GtnpbxKEql8NGkyaV6\nUoFHvmLHROQaqF1jbxg4gxVlqsENGwhiHiOeYRXAPwpcecGK56CyrDfmxMbTNp7CG7rGYQgFaNkI\n/0QPUcIm9Yvf6a4YzF+SZ/5fjq/ij9dP9OTxh8tKhgp4/cObY3Dfavt2+EG4KWJbeD/BJmtQz9Dq\nmqI6QIiITZu8OiBJNqjrAUxeYmwTtTF5fUxmlhm7A9rRJnG8QTu7j7oRub8ii1YQ2yHVFMec1K5x\nWXyfTnIPKxHz+pSxP2HV3mFJGzSlTyklF/4l62afsTskkixAizQAfDLToi9rgcClSsGUl/oFDTIc\nNTvmHp/zCX16CEJLOgz0hLnMWJUNrvSCSoQlWeExn9PSjE/MIbe0z4Z2aUubnnY5khNiSViTWyRY\nzuSaFin77BOe84IXz232UUo+MYcMpeKBrnAjOQhcyxRDxIEZcC4DHDWrGnJxOyS0tcFn5pAuCW/z\nOhcM2KHHunY5lgmqCaUU2MVPbio1hQqxOLpiWKNJKTWRWG7U05OIz3TGREoGCqCsSsKtuEJEWSPl\niczpG+GKilphrIYlozx2yrYNI9oCZV0MK2I4UWWmhluxpyWGkQa2KaJMvWUrUm5U2DWCquHAKw2j\nLGP5vIrYSEpWhBAAsciNaRllxQZg0IqBxHgSEZ6UKdtxTUEoVAmyiGEIp45/5yfYJP3h9fOTx79g\nVRpUnAbLzF9S+zH1/CX5+grUE7AZ4HD1DdPJ98DlwafSeDuoTm2MV0dZnganrCRcFZ9giUjtOs7P\nWW3+EpWf4OoB6makyS7dxvsU9TlWDXHUp9KC6+IhlZ9QVSeghtiu4PFc+SMyGrTiXZpmjbdX/wEN\nu0auU2oKLBGiQiZNYmnSoI0BWukdenaPN+1Xeckzbpt3qLVgT7eZ+GB5T6RNSzp0tcunfMalDOlq\ng2c8o6sNtuzb/IJ/QEmJwXLJBVOmdLXFMce84gnXDNnRVbr0acsqRg0dujyUYwJX3PM39AO+7Hew\nRPyKfsAbfo9UE2oqlrTBXd3guYxp0ORCBhzKJYXkrGqDCOE35fuUOAoqHpoTukRUMuMVMybULGvG\n8yrivmR0NaGBJafiFQXLGvPX9Tb/UxlI6UvEtI2yKpY5jhaWDc34hit4VgtX3jNWTyohltEBK1Z5\nWzoU4nhNEq5UeebDM//LjYIPpc1cgxFt0yo7hsDsEPhaZGmIcq1KE+E9EyBEDxJHqYEe9poVburQ\n43ACB1VEQ5SXteXGWY4rSy+qiNTQCrcUchQDRMB/xK/+Be2gf/76mTh5hCWoOFLTBSyqFcnVMSbu\nB8rYgmtqxFLqDZFdpqqOybI72KiD8RVxskWUriKNLTIfB7gxBZFkzKuXJKbPWfUxxhUMq0dE3nPi\nH2N9wcyd0o628Fow1SGRpGTRCpUb0JAuESlKTakjpn5AVM04qz6iKT0y06XUGWO94lQPmOiATFoB\nZ+iGjPUqPNUoaMsysTRQal7JIZEKSk2THpkJSSeJCt8zL9lmiZKKljTCOJeSvqxSaxnu1CLERDyR\nK4woVjKczpnqFZm0eCYvaRMzZ4ai5JrzzFxQU7KiS5zKaQABkTKjpKkx7/EmZ3LKHncw1Jwxpkub\nvrbpkbKiLQ5kwgoJV1KypS026JAh5NS8ZlKmUpNIyEoZSsVAPbHAd7hgxSrv0+Ixc/YkJQQ21YFT\nIgWrBvpG2adJKp6hKstGqFA6GCocmVoQ5QbPlyRjLjVI8LpkWJrG0xHhRW25GynPHMzEcaPClhHO\nVXnpFBXPtSpvWMt35ymlrRi5wPkoNPhxYqNkRrmsEjbjilQW0GVJuCJMYAC2tMUD2fop7Y2fN0z/\nH5enxojBqw/cKA1CXytJYJyKDca36pqs/RZaXmGjPhL3yfNHpNlt6uIYUcEVh1jbQ5I+09lHxKZL\no/Emkq2R1h4Vx1Ljy+T1GcvRHZyfMWPMpR6wbPdpShtHyVn1KWZxhcr1BsSgOIb+hNXkXVrSDfoU\nP+C35Fu8Zz5kzDW55DjNKXVCR9YwCz9LRpPv6reY6oBCZ7SkQ8GMR+YVMY4mbawuxtg4JuRMTM5E\nh2xxm4oZlZR4PJv2DQ70OTvsMeOGFgn3eI0p44Umo6JCuKs7NEjJJWeNVU5kwOu6xY2MmDBjhT5j\npjRJEDE85oCHco0y4UamzKVmJjkTmZNgeGQGqChjqWhrxJWUHMmUWmq+wn1qZnRIKFFekFOJ5zVp\ncEXFslheo8kLmbErGavapBLHRBxPXbgiGOAOGQPJeeaVLROo5rW3C+ex5xDHqhgaRMylZr5QnY5V\nuC8NnvqaEUrTeAbekBmlBUwRhgSy19uxMtCg1XhYxqzGVWioLhy5y2Lp25qWEXKF+3HAJlgJOpIr\n9YupS2CT/lvytZ/KvvjD9fPi8f+y/II2JhJhJUZxGEkwST8kyMVNfHUdOKj1EGtaiE2Js118cYqN\nl/BuSumuwee8mv0fLMdvYCUlrw5J7BLWtKjqy8BWFcOsPqYZbTH0x2yZ1zipP8MgtJO7dGSFpl3l\nsn5CJCltu0VCRtN0uaw+JyLiqf8eDdqs0CT3I15v/C26vkGuE5bNLkN/yLVe0DdrJKZJ4UesyTo9\n2WDIOetml1LHVFRkmjBhRETMptzCa84tXWdZ1njOY5o0mTKmlAo0J9OUUznjDrdpasaIIR3p0VWh\nlkBKV3E8M2dcSY6hIqfimRmwTotaDUMZcSRTCmraNFhfGNhUHCvaDYpJ8eTqqaTmDb+B4rAIp5LT\nxpIQk2I4lyG/rTckpqYUR07Irt3VBqWEp/QRJW0xfOIr9iXDAh2J2TBhE25IzMcUfIU+faNceajF\nEUomDBReMxEpEV5qTtVRqeXIBZLYlYTeyboRTpxlN1JuFIoFaWziLLHAfZPSFM9zZ/hSEr5W5I/N\nbCe1xRvl2hlWjXKuobB4wGtw25oFm/Q/5K/zZwUa/1nXn2fPYxf4p8AnwMfAP1i8vgz878Aj4H+D\nP+HY+S+Ax8DnwNd/xM/7Y68gFFac5qh65tUBLj9E27dALHHrdcrqnCjbAxMxHv0eVNdIssZ49hAb\nLxObFmfVQ3aSvwYIk+o5qjWz2Weom1L6MZW7Io43AM+8Pmc7epexPw2AGbvDoPyEgXtKku6xnryD\nUjNwTxnrgEhadGSNU/eEAWN60S479j5dWeLh/B9TkJNIxtxfA0EDcuVPuPEn9OjTt7dxlGyxT+4n\nfBB9nVtss2R36dCjNMIxh3SkTyIZNzog04RSKgyWjrYoNEfE8EDe40hOGcuYJg1KzTkzN0ENizBm\nxqq22NYOOZ4uKV/Xr1HimC0AQPe0xyYtlulyJjc8NwM8lqnMmUjBhJoN2sSacCE3/IAJDYn4kq7y\nZX+PO9oj1Yhb2uFD0+AaR4ThmppMLT9gygjHqmasSsSxVvRFeCYjLIZPmdDVhP5CENYVeCwjHvua\nShyxRmQiZCKsGaGvLb7wOefqeF4mDHxQomYCqRqm3lABqfHMNJxeYlH6CLmzLBu4oea59+xFnucu\nPKXflIS2KCVBQLYpQtt4pgodgRwhlQD48YCq8HXu/tQLx4+6ftTiUQH/EHgb+EXg7wMPgP+cUDze\nAH5r8THAW8C/ufjzXwb+0Y/xuX+sJQuWRqXzYN8XYVYe4q8fUq7tgy+J+x8Gzqkv6TTepZg/x+UB\nSOzqK/L6nLX4PvPqiKQTIMO1nxKZNtPqBQ27hjVtXHlBJ7qLkYTL+ilL8ZskGlP4kEXbki6PJv89\nush0WbOvsd74GpUfYVDupr/Kfb3HUfUxV/ULDnjGuVwzcsfERLTNKmvRfSo/4VzOqRF20l/kU/cN\nDMIRzymZ87L6NoXOeOK+x5gbIl+zJXdYkS06ssyG7LDMCnPmlFQsm236ssqUCWf+BSu+i0e54IJP\nzQt6mvFSrjmVGTGGJhk77DKXghcy5iE/oKTklvaJsJzIhGuZ8R15xqq22dE++7qJR+n4NhblRmZ0\niRlJyTs0KKi5lDHfN0/5bc5YJuMTuWBLO7QRrih5V5qIBO+HA37AGIMQi7Akwj3tsq599ojp0+Kx\n5uyRUSt0idg1woUPVwUBbtTzUWm5kAk9E37J7yQF70SQGMeWGKzAkvF8Ok95x4S4hM8q4RaWzyvL\n/aykEsdLX3PpLKcuCMi2TTgNzVRYNbBqHTOCr+bvR1+nRkkJfpcYqFXIjPIGO38R2+T/0/pRry0T\n4HTx9xL4lwgnin8I/KfAFHgK/FfAfwP8u8BD4J8BQ+BfIZxCDv/U+/5Ury1/vJSQOt9AVbESUfsJ\n6fiacvtD7OVniInA5xTlKyLbBSCKl3FuCAhpsoUhYjb/jF76gEgSrqvHRJKhItTuBkeJQHh/5iEf\nBqET7TGov0Cp2YjfYuzPGGpoLs6qFzSiTWofMmMLHVNJyZw5t819vM5oSY9LPQOtserpxXdpLBp0\nMzdgVTaZMSLVhJnk9GWZgjlrssVLOWAoUzwzLjhnxJQzDnFSc86IJjGXnPE78ogVmswlpxDYZJ1X\nck53AfoRgW3fZyAzetriVM7IiGgTyOVtmkykIMIEU5w4hlrTEsGjtGlwIUMuzZw7uvpHcOMtXeaR\nDOlIwpI2eCZjvsIyhzKigeVAJmzRIsVwqAWRCJtk7GiTiZRsaoMlSWgRMZA5T+QGp5YaB+J5pgUR\nEgRZJHxcK1+yETOFCcqqDYSwOcpXWeJa8sD0wDBHeVGHU8ftpOZKQ9zCkoWXtdCOwnXrXTqMpOC6\njliNagThzAfFaMPAUEMkZKHCV2SV39SHeEK8gkcwC+fsf/znOF35ixrV7gMfAN8CNoCzxetni48B\ntviTheIQ2P4JfO4feXlqCn+Dp0LEhGlBfUJ88E0k6aH1HIlaZO13ELEhFU5rjGkSmy6uvsFKQiPa\noqwumNbHWElAHa1om2a8Q61znObM/YCe3aMd3SGVNgoB5hM/YFIfspy+RaIJl/4lBsNl9RndpV/n\nRf0d1tL3uZt9nRVZI9cbNmSHiQ5Zkw16ZgMvnrE75liO2IjeJiXBYjjmmExa7Mg+NzogJeX78hEb\nusK7vE1f+6yzyjlntDTDqPCm7rEia5TU/Jp/k7amLGuPHV3jFS+JET6RAVMpKAhy7Xf1NXr06GvY\nMPd0m2uZcyI3WKCpTSoct/0aPYlxC7lT16zTXmhoT2XIQOZMyTkwFzip6WjMI7mmQcRECl73G1yr\np0tMXxvMqdklw2uQb/doM8dzIFMOmFLi+NRXRChzKXkuE5465cIbPqTHU1/zjBl3Ysd3fbDivysN\nYoGRhq/xhYzoL7JcjHg6GpOJsmuVG2cW/QslAzajmmwBcfq2n+KAu0lFa3EK6i/4Hi1gVWDsDdsm\n5gdchnxZwC+aqQr8J3/JxrL/vPXjXqbawG8D/yXwPwLXwNIP/fsVoQ/yXwPfBP67xev/LfA/A//D\nn3o//bu/8sea/ff3tnn/9k/v2KZokJMToSgxTUQMWbyFae2jxRXiCxSo6guMNIizXar5Swo/IFsw\nRV09IncXDPwBPbNJy97C2jbWNDiffxPwLMX3sXGfojjkqP6Yriyx0vwaef6U3A/pxPtcV18w1iG7\n8Yd8Vv8u9+QdrvWUrfg9aipEHTN3Tq5jRkzYlrsc+0f4hTZimWVKCubM6ckSHofBMtYbtsxdQDjW\n54AhVsONDBfhyDV32ecRT7ln3sK5G2bkzJnigVhSttnhOU8QYpa1xZCQjXssQ6Yyo6VNLJ42DZLg\nIWbANTMqYiJaZKxrn8/NQUAUasbeIojZa81TE545q9rBAmcyoUZpacJDGXHphK/ZBo91TiyBw1Eo\nfGAScjy72uaFjMnxbGiDP9AZvyRtnsqEJhFnWpMK/JJucSwDZtS8pev8QM75zHsilBUDViXkvUjB\nWINI65ZYPq49dyN46T0zH4Knb9tQaNbE8mkNt61y4cGJsirhJNNGGP3f7L1ZrGXpdd/3W98ezzzc\n+d66Vbe65upusrs5mTTJiFJISEacATEcOzDAIAaMwBIMxEDi8MFI3uzkJQ7ghwCZoIc4dmAohuVB\nZuQoli1KaobsbrKHmsc7D2ce9vitPOzd1U1DsMRWs6qavP/CqXv3LtQ53zlnn3XWt9Z//f/AxBZ8\nEr+cY/FEcSi2J1a0lLAqbv8Jn6NC5Sd23QO8+XCbNx/tPDn+1X/1Xfgx48EfJ3h4wD8C/inwt8pz\nN4Cfo9jSrFEUVa/yQe3jb5Y/fwP4rymylQ9Df+tbv/LHWNKPDwVCaTLXITXTIdWIqrOCH5xFxAUM\namPUzpknDwncVRyvSxw/wPeWsDYlzg6o+GeZx/cJ/bPEyTaJTjC4CA45KSf2EZvBF1GbFibN+Qhw\nsFg8E3Kc3aFplnEIuGffpEkLRx2UnJFM2HJewZEKmR1wlN8nF6FKyEgHVKSKUSEwLTzT5CS7Q0zE\nQEZc4joZGT3do0qNSGJyTUklp0/Emrbw8QkIyQXekTskZJzVDuts0tMTUmIyyVhjnYc8YkWXyUip\nUmNbtmloDRcPRbkpO3SkgaM5lkL2by4pK7bFHXNMYQktnNEaClTwuCs9quqySp25pGxTePAOVdkU\nH18NPg43mXBeqhg1WCxVPCIyehLjACNy7maGn3dC9mROhHIvt1xyhCmWl7XNgUy5pSnrFFnEHIsL\npAjrGnJLphxbcEVBhcvGJUUZY8kouiMNJ6eB4Vgti7i8Hrt8Lcy5bzMWjDDQwt+lLkUHZWYL/seJ\nFpaUHRFGWjoNadGlSSgEjf8DNtli66l+BgC+9jf+NvyY8eCjblsE+F+Ad/kgcAD8Q+Cb5e/fpMhG\n3j//5wAfOA9cAl7/iI/9sUKAufYRlLftm7hSIc5PiKI72HyGzcfkWQ9rIwJ3BWsjbDbEkQo2j3G8\nLrkmZNmA0FtnFN8k8Nc5sdvFaL34uE6LdfclTpIfMsjukmR9HKniOm1EQMSnKcvMbJ+cnCo1lr1P\n0fWvYsSjQYPEDplmj4nsiAkTjOY84iENaWM1w5WAPb3P/fz7hKZBRMqL8hozRmxzn3XnMo/NIQus\n0JEl1tngjHZJRYkl5oADjjngRX2Bz9jLLLLEW/IuG+4V6tRRhNflbTraKsfoe9yXh2yyyVRSfs/c\n40BOEGDClAOZMZaEmzLmRp5xwxzh4NDB47J22JYZBsUgrGsNK8pNGWBUcHAYqtIQ4SW9jIfPSBI2\npMIJMXNJsaIcl7MwDkKAx0BzLrg5d5izoXV2NeeSY6jisIDLXRnTI2NRhCEZdVyqFOPzqsLbOke0\nKATOVXjJhNzQlKlaVCkmdaUIGJkKx7nDXWv5bJiwrxkTFcZqWRRDKErPFrlExcCtTIiBABhr4RNj\nKYJLSpGBXKP5TALHR8VHDR5/EvgLwNeAN8rbL1JkFl+naNX+PB9kGu8C/2f5858Cf5niS/+5gMHB\n4HJFrpJrjCVnbk+YxXcQHNxwE3EbiLh41fPM0oc4XofcTonndwmdBSbpA8RUiy1FfIOWLJGR4TlN\ncjvmML8DGFreeTynQaQD4vwI1DLOHnGijxnrAKsJrgRE2Q5qY2rOClWaKDlTHZAwZUXOUJMul3gR\n4zRw8fEp9Eu35ApzLVibN/WHBFRZZY1xvs9VvcSMMT2O6ekRDWkzZ8ychI50mREx1AEn9LAol/Qc\nh/kjQqokpGzqIiMZE8ms8NEFenqCkvEn7AUWtUWAxyFzaupy1i5xURtsOsU+vkdMTX1mJDhYvseA\nW9IDhHVt8oI2eChj1rTCFMsUywFHzKTQChkR0VaPXWL2mPNAZxxTjLZf0w0CESp49CXljox4WUK+\nYM9ggTs2515uuagNDIUgUIxyS1OONGdXcxYN1KQYO1sTISfn81Ll0AojLBURzhuXPc0YY59sXfat\nMlehXTq33cn1iTDyQWaoIVSMpQF45fTthKLDU8NFKVq1v8inn9VH4CPheWsgP/Vty4dRCOm5JXnM\nAIInVarVFyGPAMjzCcZUURS1c0R8ZslDAneJNO9TqV0nnt0lrF5md/SPMbh4pkY3fIVZfJeh3WO9\n+jUm0Ts4UiHXOYGzQI6yn3yflqwQMaIqLQwed/Vt1jnDEfs0tEFG4WCflDqkFXzWdJkBA+aScp5z\nVGiSS8YdfY+r8mlG9hAHl7pZYN8+wGJx8ejIcuGBKy77us2yrNF1L/Hd7J8VDnEaclf2WafNbTlk\nQav0JeZPmX+H3extMjJum2LffMWe4V+a+3zVvkBd2mQa831zix0izmqVSFKu2Q2+Z7Z5SZc4YsxZ\nXWFfjtmVGUsa8lAmbGqNI5mzpU0UZSoJEzKWSlnBOQlN9ajg4Jbdna62+Edyj2tUOKtLPJRjfAyP\nZM4ZDcnEskPRCu5owBuM+BR1XmfCkhgmagtDJwzfSXOW3YxXpMYbOmM/c/iSJ1RxeEBMG4cYy7Ha\nJ9dNhaJuUUG4lTqsuZbdzLDqFrYQx2qpAjnFdkspBH1SFSIVFozlLz3jAulH2bb8TDFM/zBo0YMp\nMhFxylH+DPIpjruAOCF51sdxm2g+KzKP/JDQW8GIR5KfkKQHeKaGqKVVew2bHuJLFYMh0zmpTvHV\nxXWa5HYOYnAkxHVqpHaMi0cgdVKdEzPljPMSIKQ651iGLJsNNr3P4NiEdTYwasnJCaVBW5tFe5cZ\nORlNGoSmwzYPmMmEKQNCKsQSMyPiQPbYMOdxxeceD/ERZvkRM0kJ1WNb+pzRBQRhk2WqVDmjC0zs\nEYvOFkfssi1jVrTOsQyxYlmkziGHDGQMoqxqBYtyUVf5rtkuZkcwRJIxJ6aChyfCTRlzUdvclxFf\n1sv0GNIjZ5EWL7DCbTkiK5mnU8lYp1P4sxDz2JwwlILwdUPHYHI2So+YHpaHxGxJwIyCqv6CVHAJ\nyCTmRJULEnKgSkUgNBCjVAUmqiyUmcVda5lbhz45O7nhonFJRang0BCDS8FObRpF1XDBhUVxmKAF\nuUwMgzLbyMvrzSL4Rvnl56CzckpP/xhQKFM4WBIc8fCdJpmdk+d9fHcZJzyDTQ5xvG6h9uQuMopv\n4Dktyi49ntvlKP4eJp1R8c6Q24hpvkvFWSaUFoP8Hnk+ZarHjG0xdTvM7lKTFlmpB56TFQqhOiAw\nTSrSwFdlwDF16vj49HSPjBRXQhZllV19SENavCW32GAZB4/b+g5X5BWMZvj4HMsxDW0R4rPCGjd4\nhx/ILT7Lp0mI6ckJCQkHMuMVLjGWIQ/NCZaMCVNiKYqn1kZEErNAMREb4LJKizdkh3cY0wDe0Bmv\nscpIZmybAYtaYZM6e8zoErKiHaYyIyUvZ0hSpio8lBNiyXFFeShjUpnygl1kXVtUkFIECH4gfR6R\nYiXjKg2GFF61OZaZJLzDjK7Afc1ZF5cdEh5bS0vg21nEBccQS2n/IA5v5RkJlp+TNr+nMzaNwwk5\nj1KPb3g+MxPjCCw5EIulW47Y71qYYmmK0CqZqAdq6UohJJCgjFXJtfi390WMLfCfy7MPHHAaPD42\nKBYjLqoWqwmWjERn2GyAo4obrJOnRxRZnqXqb9KPf0jVO0NuZ7imRsM7xzTbLt3jYirOMnvpm7TC\nl3At9G1BexExzBlTly4T7dHXIzAuFanjuwt46vBDfR2jKb5ps2jO4hIw1gMSYurUS6sJGMkQT0Ia\nBNzkPnV1WZBl5jrkUHr0pM9ZuYBoTk1aTBjRoMZVrhLpiFvmAQ2tsMoyi9SJiQgJWWWJrraoEZJI\niqsON2WPBa0zkQhfAzJJQaFFh1+Sz+MDasakZCSS0dUKTSoIhmtscUiPR2bAoczx8Vkg5CqbOER0\nxOOstrjBBFeUKg6xZNyQE+4z4wUajCXhQHM+TZ1jckJRFrTGSGJquCzQxkjCq/YM20zpkXCkwnlT\nFFADJ6eC4OJgUB5aywXjcNa4HEvC3BrGWJoGNlzljqZsGJcMIRNFFG7ngpFCd0MQZiguhf3ksjhk\nKAPNmfJ+tlG4wUUqNAz88k9Im+Oj4DR4fIxQLDEzCjaIxWCwZFg7x8VB/AVEIUl3QC2h08Vqwjh/\nzCjfpiIdQmeRo/Q9mu5ZlJRMp0yzR1iNWfCukBKxVvkKFSoc6zaqCV2zhktAbEfs2NtMGXDBvIqP\nhxIzsPsIhe9sx6wX4sM6QgV8PHx1WPGuc0EuoZpwl0ckMqXHiAo+bbPGWHsccMCCLHFPHlDXCo9l\nj5e4RsyMiUw4kSEODpaMoQxp02Fb9rkhJ+ye6PlYAAAgAElEQVTKhGu6SCQp2zIkk5Trcp1YZ3zf\nbOPrhJyUdV1kmS45KV1axOT4aviOuUcVl5nkXNZFHsmIPYmoo7xJ4WU7kYi6GC5pB0V5W0bMKIbF\nalII+bgCoRTMzWUt9E0OJMLDEBUuNIxlikrGqgQ0Bba0zptMWStNoQKEe9bSNrCnFlcscywPMod1\nt3CXe5DDXA3rRlARPJRdFV52DCpKVwqv2wbCEOUF8QGPfU2IKNqxKgWrtHCEEf7ycxQ44DR4fOxw\ncBEMGSmeBCBgNSezQ0ye4bpNHAlIsmNct8U826UZXKFqOnjeKlHykE5wnSTvEdkTOv5VQmkR2z6x\n7VE3C5wkbxOYOlVp4mhRoJ3YY0Jp0JA2LemS6IiJ9gmljghMdMBQhsx0QMKclJSKVGnJIj09xGjG\nrt5hQJ911liSNaaMWNZFJtpnImNULEYVRGnSwAWmTPFw6bLIiqyTExOWWyRXfCrq0Zchn7Hn+IHZ\npkuLM9piW0b4NuE7ZocXdYF70idBuWMOOc9ZRDN6MkJRDmXMnMIOAeBxSTvf0ApvMuKyhOTkDLHs\nasoGdU6YsSguDQw16xOKoaIeKhYX4Zpd4TvmkERyzmhY2j2kgOEHmcURy8/rBTLm3COiLlrMAWmF\n38lyLrmwhIeDckHqzEi54hgilD2rXHQcviId9mXOqga8aXPWDdzIhDNOMYZ/bIVVY+iIQ1Wr7MiU\nlCI3LVTshH7uUjWWv/KcbFU+jNPg8RNCVkrzF5rbOQhPTLDN4ms48QSA1A4xCq7TYZS8VxTH8glG\nHDypYzXGGB9PQhKdIBIQOG2OszvUzCKOBBzae3h4jOix4r/EbvYuOTnr3qc4yu/iSICHg49PJhkq\nDlUqjOjj4FGTOiIeVlN6MmKRLhMdcNn9HH27SywJW1zEU4dQqtRpYI3Hrpzgq+Di8pa5gxLRoMFQ\nBhzICWNGtGjSkBY19bnMFgccs+VcIdEpe9LnRV0hkQRF2SfjCk369LFiOSwDVg2PFh5zUgJc1mni\nYvDxGEhEUz0u6hJVhC2qnMiEseQsa4UjMjrisU4LJSeSlKEK35c+mRpW8QhwqRCSScaOJlxzHNYk\n4JAh2zLHFaWBy5iMmVg6jnJe66hYPFGOSKhi6KnloaUckDN0MKSS0ZeMllECMdQcy1CVBTFcEJ85\nSoLlIREphdJ5R2skkpIhtBzLrzwHxdE/CKcyhD8h+ARkJOXWJcdqSqYpke0zP/g2jrtIlk9oBFeL\nNq/XoelfouJuEtk+x9kdJvkOmU5I8x5hcB4Hj1l+gNo5C+YsUd7jIL9FTjFItSDLjNK7rJoXqEiV\nSIsA5UnBzEzKD/c552U6Zp2uLJEwY8iAkT3iWPqs6zKZpgxlyFF+l2VzjrrWyEWxojRkCQ8PX4WK\nKjWqTGTCli5S1xoJMWuc5UVeZlm7PJBtVnWBESPuc5caDu/ZNwiwhDjcNUc4GKq4/Pu8SpUAH8OO\nDDghJSr1xScS0yRkXNphu8At6bNFhTZVbptDbsmIWCw1fFo43JURG4Q8linflT2OJOIxGXdtiqCc\nM4Z3NeKHTHDI+W6ecFVCIiw9Yqp4KPBYLX0yYoUUy3mq9GXOEQlHZPTVckzGvlqWjNIS4Twej2TK\nuzbnUC3Vsk4yVmVTHCzKNjG/86jNmMLQeq6FMdNIpgQCbXk+uiofJ04zjz8iHFwyUqyWxVQsgpAS\nYbMBvttFMDimgs3HxNkBrtNC1NJw1whMi1xjRvke5GMCU6fiLDK020y0R8s9g6cOvlToeC9wnD8k\nI+WAbQrj7jlr3qcJpM7UHiLiMtcpU3vMlAn7HBJoUf47lBNWdImhDAhK+wYRg2qKwdCnR1O6zGyf\nt+QGkGAprBAECDUglpxdOcZDqDvL3NFbHEtEX45KRzmfPRkS4DIgok5As7R77GqLN+UuVRza2sSS\ns06dEA8DnEjEjJxcLCcS857OWBGfFa1xJDNWtMoVXS5o9aT4pc5FnYCzNEgl44FGrInHa9LghJRN\n6tSNpSqF5eWCUR5rygRLXQxWhEQLR7iGGNbFJ8XymJhNrTKQlCaG89QYkbFuDF1xmZIzkJwbmXDJ\nMbTFsKMZU5SL4jMmx0foOF1M45iYgupeLQfcXIQVKvx5vvQsL98/FKfblp8wHAqpulRjjDgIQqFB\nlZLbCS4Bxqng+ksUTnBTwvAcamOm2WP6dpeO2cSIx8Buk+kUEY+2rDOzh1RMl6qzjLUxLXeThrPM\nvn3Ahmwx1QGpHSJq8cRnrhPWnMsYYJvHLGoTDx8Hh0xipjKjqhUCqdExy6gmPJSHrJstIp1yyCGC\ncoYVjqTHZa6TasRQJswk4q4c86KeRbFM7BFWcta1w5ae5Vh6bEufl+wWd80hl3SFx2bAvsyYScJI\nprymF7AoU5mzI0N8HBLJiwtOYIGQmaRUMFyjxQu6xpEMaZXB7oHpMZOEi7qIL4ZdmfEOM2pi8TFs\nEDKUlLmkJJKziEcdjy4BE0n5/TzlivFYEx8HGJRTuGsEdAg4kpg9zemKIRdLE5cc5Q2NWDaGHOWe\n5uzlhq5RPmMqHJBwpEVL9pz4hDh4EnBEwkBnzMvrxKPornjAF2SRn+OVZ3K9/jj4KMHjlGH6ESA4\nzBkRUH3SiSl4GT5Vs0il9Xnmw9cRcXClxjzfI9WYhnu23L7MaTlnmdtjDB5T7VGVDkN7ACgxCRVC\nPNNAsaAJFbNAzz6myQIZMVXpEumIhdoXOZm9Tm4j9mWfUD2atNmRPeZEnNN1DA6BaTCzfawYMo0J\n8ImIaUqLhIRME7qyRsSExzwkpAZkjJmxrF0mMi+o9BLRpVFYQpJigW0ZsKEtJsypUqemLj80Oyxp\nnTERrhh2NOICVWaS0dQKGRkNKtyRAQt4uGrYkSnntcmQmDmF0fQDiqzExUDZ8TohpaM+AYYTSbim\nCzxiCGJpa8gtmbCOz5wcRajgkGPpaMibMqSJ4Y61fMmEbGvCsri8aVPaAhmF9wooV4zLjJwOPmNS\nfAwjMpbx2SdlmYB9IiyQAZkWExdFTqr8R7xCh+azukx/LDzNwbifaSg5ITXG2iso1DoqFMqImNh9\nBv1vY8QjcBZRUlypsdD4KgfZ20Q6oiItLDme1Di0D/AJCd0Vus4WodSoEBKWBdaGLNByzoFmGDVM\ntU+mKdvc5Q43mc9uMraH7LPDZedzhIQcyQEV9TivZ9iTQxJiprZHKA1SnVGRGp7UsFje5Sb3eMBD\ns8cDbjHXCX1mHNPjthxgKIR0ctJCyIgKHQr+yYGMyEhZ0xoL2qFClR/IHjMiXAw1HDZp8aq9xFfZ\npEmFORYl54pu0WfCl+x51m2bkSRsaYMJGceSsEaNuWQMsKxogzvMecCUCOWs1gjK9miC8s84ZCBp\nWc4u/FIScjLgnHZwMPgY7siYDXyWNeBl43FLi3bwPU1YNoVPS0uETxmPz5iQCCUsuTxH5ByTs0bI\nESnrWuURc1Jgrkqs5TZFhJHCf8ZXPzGB46PidNvyx0AgVSKdUpNWeUbJSQvqs84KK0oJ8N1F4vgx\nLg4tZxOwZDrHM1WsZlhSZvYYn5CZ9jlkn0apxzHTHqHUuWffpl3aKrji0XHOsKAtEin4Hp4aju0j\nItdjk7MEBMRELMoS+3LIvpyQ67zo5MiICVNysWzqOh4Oj+SES3oWB5e5zPBxuKSbJBLh4eLhEVAh\nloiOLDPSHkvaZt8MuMIlBvQYygQVZVsmCAZXYEW7HMoJI6YoQhOfVV3gH8gNPssG+9LjHdPjJbtM\nIB73GbMsHk0CYklZFZ+JxLysC4Qi7BMRScYjTRARWhi+rhfp4vE6Q3qkhAIdAiyWiURMyXnbxmyK\nS09ztsmo4vACISdSCCa/P1m7IQGPiBmRFdO1FEHhDCEOyqas85gBE0lRhFwL7oml+CaOgb/6HLZi\n/zCcblueEVKNKawdHBTw8Ek0wpOAmlnEN11AEBHSfIiRkJk9LNTJUHypkeiEtn+d3fh3CUybijTY\nsbdpaMGHWApeYZo8YJeHLLJYDPCZgDg/oeGsUjVLRPkJQz0gZk6oIXXp0ucQVx1qpsvQHjCQKUva\nIRPLMYcs6SIn0mOfIVc4x5QRMyK62sWSExBwIMc0tUZPRuUzLhzod6XoLTTVI8RhWTv0ZVjcPzmp\npAyJSEh4IDPWNSQSy5yUs9pkKBEGcNRgRdkj4roukFEUdk8kpqkumVh2mfJYc77MEmOZ4mqh8OXj\nsCszDkuJw7q6TCSji0dCziZ1UnIylH1iqhR+LxGFlkeIkD8R5yksD86Ii4swptAZrVOwRV+tvcK/\nmH6fpNTicHh/SlaxCi+ywJd58Zlcg39cnG5bnhE8CQikylxnJDpnrpOymJoyzHcZZLeZ53u43gKe\ns4BjQnyp0vIv45oqnqmTasSD+F+w4n0aF0Ns+7Ro03G2iIl4HP8urgRsyAtUpMstbjLJ92mZVbbt\nTbbT7xdJu2ZYzTiUA6r+WZq0ESCQBoIhVENV2lSpkaPsyj6KUsFln32OZcwWF3gouzSlwwPZwcfh\nUHo0tMKmrpGRc10+zUv2DF/Xz9MhpIbPVKY4GB7LIbHEnDDhsQxZ1Q7XtU0mlrPaYkubHMuUV+xl\nKurxWV6hoUVL9v+TI96QPrdkQETCbzPgMVNchK/Q5aH0SciZkvFAZrwrI9a0wjnxqSC0xGUVn/sa\n85qe4bftkLtMmZOyqD4TMibktHHYxMdHiCQnQJgUktjkKLPSiqGBw+ea/zGK8jvT7+NRGFkH5Xuf\naMFS/Yt86RMbOD4qTjOPjxkJc2zpoA6UhVQPUEKpU3dWUc1xTY3UTnBNnX56m5Z7Hqsxe/kNVp3L\noDkWywP7LhecV4jtiJgxYx1Slw4eLnu6TZcurlTo6T6RZKyxSqopu7JPVxvk5MyYsyjLGAwREZkm\nDGUECF1t4eDQlxlTxrS0RiQJCyzSo8eKFqrqgdSYMMKS864c8mnd4B3ZY1Mb9JgChjMsUCFkmbPc\n5R0cDCeMqREwlohQXRZZYMoUH5ebcsCqNqnjc8yUCoYDmbCqDdra4AdmGx+XJa0yJaGGR0CVIUMW\nabMjAzoaEOAyJeZEZkW7WC09KYrCx8xZwqehPm/JiBX1UbH0yPGAAOGMVtmWOVe1w1QShsQISktD\nDDXekT0sxdYkB44sLBuISlGfb/LlZ3W5fWw4zTyeA/hUcMTDYJBCSgilcFsfaY9+/oBB/phk62VU\nLXHeZzn8PPN8n0THbLgv45s2OQkTe8gl57Mc5/cZ6TEV2tSol54pLufMVQQDmuPjc0GuM9YBB+xz\nVV4kICz4KZIx01K5nSZziVjQDmu6Rl+GtGSRy3KVK1xCRbkmrzLTCec4y0AGhaiv3OQd2WGDLV61\nZ1BVrtkVYlLqBHjAlAmHHHOTN7FYHskJVXw62qSjVepa4fflHgcM+J7s0FKficzpM2ZfxsxIaWhh\nozmWKU18XITbMuAdGfM96TFkxF2Z8s/lEb7CkDlvySEHzDgioaEhhxLjY4hJOK91gnKLs0VAXxIc\nChnALa0Slh+BLh7flWOGRFRw+IUv/Rq3Zcxt2UehdPsBVaVeaqj+Wb3yUxE4PircZ72An0Z4BCAB\nUx2SkeITlOaMQlQWLSe3f42ZzHmh+WeYT36ILzUcU+Uou0nbbBRdGdMi0xkuHgkxMWNyUZqmzdz2\niXXKgnsBqzkHdo+KPaIpHSY65x19i0QyrnAJUWjLMo94xKou4mCoUEPEZ1G7TBmxzQOqtGnQ4o6+\nzVCmLMkZphqjMqelHlV8HPEQdRjLmHsyYEXrCBYHhwUWcAlwVctKR8pD6fNAhlhyEMNVu4AvIS9p\nmx12ONEZRxLTwKOjDcYyp60NHskRovBY5izicU4bvCUDLMq+Wr5AiyOZ4yC0NGBH5lzTBm/IEU0K\nqniobikmlNPBI8bymi6yL2O+RJOZpHgYepJggJe0yeXKN/h/ov+Lv/OdP837+WOKEpfyhJbiQ/PL\nfOX5y9ufMp63p/+J37b860g1IiHGwWFOETgsloyMgIBAKgTUqYbn0XRMaieAMNWjUgV9haHdY819\nmZ3sLTIyXBwCqngSkJI8KbwWg+GQkxNQ4Y7c4xrXSZhzwB6B+lgRYp1Tp05EBCgnMsbHKYyktEZK\nSiop2zLgnF2gTZu6tEiIGdKjz5hNXacidW5xi9sy5jW7QtMsc5MbLNlWwX2QBHBY1IJL8gOzTYuQ\nlIyqeqzpIhuyxa/Lv2JJfRa0wbYZMCWjhcs1e5bHcoBiaGmHx2aXtgaMJWGOpa0+IxL2JKaKoYlL\nDZcjYholM6SlYbHFkxE9UhbwOCFjpsqWBKxonccy5Ip3jXvpLQ6JyVAiiqDRKudcfIFc4U9xkTP8\n5AynnxU+yrblNHg8JQz0qKQOfSDd6hMwY4aPT02aVKRNLbiIzWcM09sY8bGaEEiDge4SUH3SmXFM\nDUfh0D5i1bzAyB6UmhITXAno0eOivMyxfcBds8MFu8FE5tQ05ET6jCSipVWqVFhijYfco6NtrFha\ndJgzJdY5E5kRqEdPZkxkxqLWGZNgxeBpzjWucqQH7Mgxj2XKIgEtDWhpjUQSBKHPjCo+Hi4nMmVG\nSldD9qVgfZzRGj2JeKAxoRiWcamqy12ZF8rmaniVBiE+S7rMD8w9hsQ4CCtaRUWpacgt6WEQjjXj\nnPisaROD8LacsEJAV6vclD7XtFvS+MdcrHyVg/kb3C39UyZqQYrAkSrURRir0hSHv6B/8pldPz9p\nnAaP5xyKZagnRSuXpKyJONgyQXZwCKVGQI2wfhUz76OaMtYjrKY0zAoju4dPwET71KVbjPDrMRMd\nUpM2UsoSOuIy0gErcpahHjGXGROmgFLRkCpVTqTPmq4xlzk9Ct/bok3qo+RscYFIR8yYMpWYFV3i\nvjxCKRzkB8yYiuW6XWdPTohJ2NAF+hJRQbgvI1rqMJYUi9JSHwVGkuAiNLToWcwkoas1XIQ70ue6\nLvFA+pzVNpaitXtbRixTiB65OITq0peIde2yS58OAWOJ6WqdhAwP2JFJmYkJSxoU2ielmNELlc9z\nc/777MvsSTiPUIQicDgIGUqm8Bf5Yln0/unFacH0OYdgaMsSFamTlBOlGSk5RWclJ2ekfXq6R2/8\ne0zyXcKlX8BXj5azQaoTpjoi0imB1BEKYlhPj1g156nRwBGPEQOMOqzIWXISVtxL+OqzxQt0tYuL\nx74cssk5+pxwyBHzcj1bnKeqhbNbpjMsOUOZMGDGvuwT4FPDIyblkm6yplVcDAtaJ8TlwIzIiRkw\nY0l9LuoZNrVJWwOG5bh+gKGrFUJc5pKyXHZ4TmRGBZdtGWCBfRnxUAZMSDivNSrqcUwCQIhLQ31O\nGOGLMJGEGRkxCQ4U8oVAgMOWNgtaPBV+yf8mkeT8bvT/clcKU6sUZar6hGaeaNFJ+dN6nb/EV3/q\nA8dHxWnm8QwxpE+mMQ5uMeqPxcUtHNVwycjwCahJi1DaKBlxaSZVd1YZ5Ts4OEx1BFgcKbiggsNc\nx8TMC+1TKuxyn64uMGNGTAzAQMa0aeLj42kx/zGVKQGNQqgZj5nMqWudujQ5YI8Dhixri2MZ84Ku\ncdNs4+DQ1pCYlCOZs6x1xjLH0UKPfok2PUa4FOSrqlY4lgGRFAopMUoLF6NQwcfFQVFics7pKifS\nY0pMKoXdQ45lRoaHoaIuuRTTJI6acj7Y8kjmrBOypDUCXDbNVX5Lf4cBGS4FsSun3J5Q+McYilbs\nFbp8UX+2OBsfJfM47bY8Q7TogEBfjzAYUlIULRXQ4/KDMmOuMwLt4+MTSp1WeI1pfA8Xj0indJwN\nfNOmn93Blxoje0TddHCsU0r9pzS1SVXauOqRkHAoh7yg5xgzwhOPKWM8POpaAyxzKYJZUxsEVJjp\nmBYtRAy70ueCrpKQcc4u8Z7ZI8DQosaWPUNGRq4ZR9JDEDosoFhiTdk3IyYy4IouIjqjg1fwQWRK\nkwo5yoQIB0MkKTsc4CAMJGJBK+RYAnwGMmROTiaWOTkBhgY+ueQsax1HDS+5r/Agu8ltOeYH+i/x\nKDxTplgqCAMt1Mzdkl7eweff1S8802vik4TT4PEcoCNLQCEvOKYgbzkYDKasiVhmTItuhw6ZzAfU\npU21epVqMuc4fY+6pvhSZaYDQqmRaUSfHqGGhFIllAbbeo9lWUVKFsoxxyzIClZjBjJjTRdw8Vjx\nXsRkb5NqwkxmnDCkrXUGJbHsPGtkpPRlQlVDqriF6z0jZhKTkdOkikrALn1UHxGT4YnDWbtQtmOb\nuLgkkhCREpc1n0DdUu5A8dQwlQRHBVcdYgrrykhzlrRKnYA+MyrisqB1ZiQsaJ3u4r/FvZNf49v5\nd0hFWdAKU5mVvSgIERKUiggZcFkbfPkTMDb/vOE0eDxHqEubOm1G2iMtmR1QNGBVICKmoiEjhsQa\n0ZseUKGKJz56/c/g3vzHNPIQS0rP7rIimwRS48Dex2JZYIGmWSW2Y2o02JVHvMctFqTOhi6hKMdy\nwij7XWZELLNIqFUCZkREPJQ+C1rBwfDInNDSEB+XT9mL7Mo+l/Usc2YcyxAQ9jimgouHw0DmVNRn\nKjMqeDyWgyInEssBc5YIGDMnE2UmKS0NUKCiLiFeWZtIaWidY5mSYamqxxINUqly2fk0v5X/E+4x\nxD/5+8TldsRF2JM5AYW6ucKT7ck5mnxNP1kubc8TToPHc4imFO7xCRFD7eHhMytrEBERVpRII1xc\nLBNEhe13/jptbREQ4vtrLOeXsRoz1wEdWS7UxBAiOyIjwuASqM+qdIDCcjMiokaVmtboYpgzYyxT\nahri4/OqPU8odY50n4u6gl9aZGfkGOCubNOiSoDLvgw4p20GzEnIWdAqVUJ6MqFuPeoi9JmSq6Ut\nHmftMhUCejKgTw8flzkpHa2TS86xjKiqx4SELbuMZ2oYv8Mb6eskesyN/GE5PM+TuRQXKbm9hbm2\nBSoYfkGvs0jnGb27Pz04DR7PMXxClqQgJMUaY7EEBGSakUqGqj4RZ3bVYcKUOXM06TMoP9gGw3Lr\n66AJ0eRd5rbHSIbUSmf7igpTZjg4VAhRXCwZdbNEbGNEYcqMqaRcZI1IhzSkyWP2WNY2cyIyMlra\nYpll9uSArrawuMTEtKhQI0TUkEqKo1IEAkJWtM2xjEBhJGMecUgVn+u6QoYlxMcggOFq+CU0GfMo\nv8F7Zq9oe6c5Xjkla8oiKBQdE0VJULIy+/Bx+A/185jnToXik4vT4PEJwYpsABDrjB7HhFpQ3g0G\nD+8JAc3BYSZzUEhIAKE//Ht4eISEuBKy4VwjoE5kj5jYHm1ZZK4TKtJgrmNAGNsDDEKbZsFG0T59\n9hnJGAXWS9PrioZ06DBmxFjGJU8ipYqDo3XGMmPAhAVauOqw8CGBnKnM2dBFejKgo83CrlI7DGXM\ny5f+BvrgN/le9pscMITot4sgIT8aHAxFthFTFj/LrkkKeAjfsBdZlrWn+2b9jOA0eHzCEEiVNc4C\n0OeYqY6fJOapFGpjQtFziyXBVQcRg1XlSI6pUOEw38fDBS10WX2d0qm+hvFqeCEEJ4+YZ0e4GIw4\nzHVKkyY+Veql2bYAbTVMZMaICXOikrwVAkpXu0yZ0tYWoNSpM2PGXGJcNTgYWtpiJnMuLP5ZhtPb\nzKPXuSE7GITDO7/ClIwQlwhLpaQkFc5rRUZRjNAV7dYAIcAQYbmgC3yGa8UL9ryREX6KcBo8PsHo\nsEhHFgHY18cAZJJR0yopaSnYDCkJRgw+PqpaGEcxwxO37LoMOZn/c/K5hRFUCVGBUH1EpZyncZky\nZc2cp9X+Be4M/y5nL/510tv/B7XmZ8DxyUa3ipLkuW8geU7uWHYf/k9M0m12ZBcoJlMzyYnJ8HGJ\nSNk9+dWSd/E+USsnRwlxmJVZzJQMB8FBmGEJMfTIqGBwEDa0zhc4LX4+TTxvcflniiT2k0LEnD2K\nb3BbkqFsmew7OCSkBPgkJa/EwyEiI8QnIeNYIla1wpSkpGwJCVkxkg6kkuOqwS3p3r4WSvIWxeH9\nzEeYk+KUhdoiOFhysfjqgFAGi+KWYcvRPspHAosyJqOOW+ZWRZbhlcXPz+hlVlh4Ni/yTxlOSWKn\nACCkwnkuPjme6ZhDDnExJFKYINqSxZqTk2FxcUjJ8HFY0QoZlgAHF0OG4uMyLrccLa2QkJKhGC2u\nN1sGoZkkGJUnQSZHSMhLe8gisxhJikNhupRD2Ua1NHCJyElQWngcUehyFK1Vw6d0nXU2n/4Leoo/\nEKfB42cAVWmwRePJcUrCiR6yY06oq0dWdisiMqYS09CAHIuDYV5mJ+/nHVaUiUZFtiDFSJ9RIShb\nq3mZfeRiCdUjJceRYmsRlxmFA/jqkEsx5xKTU8GUiueKj7CqHT7HBgHhs3nRTvGH4jR4/AzCw2dV\nzrCqZ37kfErMvh4SE5PKhFwtGZZcFEelJGrlWFE8DBkFNdyKMitnRhJyHJFyPqcwetIn9QwtggmG\nqaS0tEpXmmzYJUKpPZsX4xQfGU87ePwi8Lcovnz+Z+C/fcqPf4p/AzwCNt/fFuiH/kE/+KlPqg/8\niDbJ+2JEoGWVA0AQ/eDoR+7zw/f9vFXeTvFHwtMcyXeAv00RQK4Dfx7e76d9MvHmw+1nvYQ/Mj6u\ntUo5GfP+3M37f4qJWaf828GU0znyESPDz+Jr+7Twca33aQaPzwN3gAcUHJ6/C/x7T/HxP3a8+Wjn\nWS/hj4xP0lrhk7XeT9Ja4eNb79MMHhvA4w8db5fnTnGKU3wC8TSDxx+04z3FKU7xCcXTLFX9CeC/\noah5AHyLYizhw0XTO8CFp7imU5ziFAXegudX1MQF7gJbgA+8ySe8YHqKU5zi6eGXgJsUGca3nvFa\nTnGKU5ziFKc4xc8qfhG4AdwG/tozXsv72AR+C3gHeBv4K+X5LvB/A7eAbwPtD/2fb1E8hxvAN57a\nSj+AA7wB/Hp5/DyvtQ38feA94F3gC7oyhdcAAALQSURBVDy/6/0WxXXwQ+DvAAHP11r/V+CgXN/7\n+Cjr+0x5H7eB/+EnuN6PDQ7FNmYL8Hh+aiGrfFBAqlNst64B/x3wX5bn/xrwN8vfr1Os3aN4Lnd4\n+r44fxX434F/WB4/z2v9VeA/LX93gRbP53q3gHsUAQPg7wHf5Pla61eAV/nR4PHjrO/9xsnrFHws\ngH/CB82N5xZfBH7jQ8f/VXl73vAPgH+bIlqvlOdWy2MoovmHs6bfoOgwPS2cAX4T+BofZB7P61pb\nFB/Ifx3P43q7FF8cHYog9+vA13n+1rrFjwaPH3d9axRZ4Pv4c8D/+G96wOfBMe6TQB7boojsv0/x\nhhyU5w/44A1ap1j7+3jaz+O/B/4Livb3+3he13oeOAL+N+D7/P/tnC9LQ1EYh58FBVEQTCoTBME6\nEJMIA4tF/AQWs0GTiMksWAwW0zSsqB/CIIhBbQZFkE1EUASxmAy/O+7cH2Wi2yv8nrK7s3Cfs7u9\n95z3PffALtBLTN9nYAu4A+6BFzQdiOhaTat+te1lvvGOEDyiLx7rAw6BZeC15rPK/jjNaFff5oBH\nlO9otnYniivoDj4B7CSvb9SPNqP4jgEr6AYyjH4PCw1cIrh+df5fd4gQPMrwaYeXET5HwE7ShQLH\nPpq2gKL4YHI8hP60UN+PbNLWDqaAeeAWKAIzyDmiK+j6loCz5P0BCiIPxPOdBE6AJ7T38hGaakd0\nraaVa19K2rM17eEf2om6eCwD7KHpQDWbpHPGNeoTUd1oWH5DZx42z5PmPCK7HgPjyfEGco3om0PV\ntp7knAVgKaDrKPUJ01b9TlHVK8M/SZhCzMVj0yh/cIGmA+foyxxAiclGJbB11IcrYLadslXkSast\nkV1zaORxie7m/cT1XSUt1RbQiDSSaxHlY95R/nDxh36VUu01sP3n1sYYY4wxxhhjjDHGGGOMMcYY\nY4wxxhhj4vIBOY6haK9Ak0sAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the `imshow` function built into `matplotlib` will plot the array indices as axis labels automatically. This gives us a quick and dirty way to be familiar with the data we're working with--we can see that we have approximately 1000 pixels in both the x- and y-directions.\n", "\n", "A gradient is visible across the image. We would expect this, as we're effectively measuring line-of-sight velocities in these images, and thus the rotation of the Sun would result in such a pattern. Variations due to additional motions within the Sun would break this pattern. We can see examples of this as the spottiness present all over the solar surface. Cool!\n", "\n", "Next, we can plot the variation in one pixel over time. This will give us a quick insight into the timescale of the strongest oscillations present in the data." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(imlist[:,500,500]) #Plot slice through Python list corresponding to one spatial location in all images.\n", "plt.xlabel('Image (45s cadence)')\n", "plt.ylabel('Signal')\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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K3nVUUYJQ8VFGNOvXR4tJU5M03Gxrc/M7kQgcPJiY+JxzjrexZ7zU1cF558GH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\nBTNnwskne8eMmPg7HNg5H5D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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can already see multiple components of the signal here. There seems to be a high frequency oscillation as well as larger trend changes over the datastring. Now, we want to separate these components of the signal from one another.\n", "\n", "Now that we understand the shape of the Python lists that are holding the data of interest, we can pass the data to the relevant built-in Python function, an n-dimensional Fourier transform. This will change the axes of the data from (length, length, time) to (1/length, 1/length, 1/time). This allows us to explore the data as a function of temporal and spatial frequency, giving us more direct information about the features of the oscillations present, as opposed to showing us the signal created by one individual location in space or time." ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Create a power spectrum.\n", "\n", "#First, take n-dimensional Fourier Transform of image data.\n", "fftspec = np.fft.fftn(imlist, s=(512,1024,1024)) # FFT\n", "fftspec = np.fft.fftshift(fftspec) # Shift FFT such that lowest frequencies are at the left of the array, highest at the right.\n", "\n", "#Power Spectrum = FFT * conj(FFT)\n", "powspec = fftspec * np.conj(fftspec)\n", "t = time.time() - tstart\n", "print \"FFT runtime:\", t, \"s\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "FFT runtime: 254.174783945 s\n" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Note the shape of the FFT array.** We have added buffer area along the time dimension to allow for a smoother FFT. We should do this in the spatial dimensions as well, but since the images have already been processed by NASA, it is less necessary.\n", "\n", "**Also, we take the complex conjugate of the FFT to give us the power spectrum.** This allows us to combine the real and imaginary parts of the FFT so we can measure absolute power instead of power in the real or imaginary direction. From here out, when we plot our data, we plot the absolute value to combine the real and imaginary components. " ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Representing the Power Spectrum" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Great! We've made a power spectrum of our data. Now, all we have to do is reconfigure it so that it's easy to interpret.\n", "\n", "First, instead of plotting both positive and negative frequencies separately, let's align them on top of one another, as they should be mirror images of one another for this dataset. This is effectively folding the data perpendicular to the time axis." ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Analysis: run separately from FFT\n", "tstart = time.time()\n", "\n", "#combine positive and negative frequencies\n", "newpowspec = np.zeros((256,1024,1024), dtype=complex) #Define new array of complex datatype.\n", "for i in range(len(powspec)/2):\n", " newpowspec[i] = powspec[i] + powspec[-(i+1)] # combine powspec halves\n", " \n", "newpowspec = newpowspec[::-1] #flip over frequency axis so frequencies run from lowest to highest." ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's make a plot of the data at a given time frequency to make sure that we've arranged the data in a reasonable way." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.imshow(np.log(abs(newpowspec[90]))) #We plot the logarithm of the power to make the features more visible.\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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EeeaMuefusTJzl+JTHQ73Mleo0KB+4ZCoa6F/NeTi7E0UAlOLqCy1ibomfsXm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qMZHr2oRiAqHB7eZvm9LMWbXYZuhYP6YzrCGnMpw+Uf7CH4EdXNNtVMBz10eTG7xjXtBZV4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\nt77399bgCNpRj+P/+AJm2sdoxKQnBqy9dJih70LZhwvAbY3Sv9hk4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"text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this plot, we can identify the typical oscillations in power as a function of spatial frequency, or wavenumber. Great! However, we're most interest in comparing the power of spatial oscillations to the power of temporal oscillations. Thus, we need to find a way to collapse this two-dimensional spatial information into one dimension. \n", "\n", "As you can see here, the spatial information seems to be tied to the distance from the origin--it's circular in the above representation. Thus, it would make sense to represent the two-dimensional information as a function of the distance from the origin. \n", "\n", "We handle this by finding the average value for a given distance from the origin for each frequency. This is referred to as *azimuthally averaging* the data. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "az = np.zeros((256,1024),dtype=complex)\n", "#compute azimuthal avg\n", "for i in range(1024):\n", " for j in range(256): # loop over all index locations in kaz\n", " kx = np.array(newpowspec[j,i,:]) # relevant slice along x axis\n", " ky = np.array(newpowspec[j,:,i]) # slice along y axis\n", " az[j,i] = np.sqrt(np.mean(kx)**2 + np.mean(ky)**2) #azimuthal average = x and y averages added in quadrature." ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a look at our `az` array to make sure we're on the right track." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.imshow(np.log(abs(az))) #again, plot in log space to make all features more visible\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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XBOJqcgyw/0NJjxfnK3RsvY/9n+wnXWpcjMh3hHiyENh3SF8xH070ZLCV6lU4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\nBdJOn4uzZKMMV2QYw/VIj8X15znGYM3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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can definitely see some structure in this plot! Now, we stack the positive and negative components, although now in spatial frequency, to make the data more readable." ] }, { "cell_type": "code", "collapsed": false, "input": [ "newaz = np.zeros((256,512), dtype=complex)\n", "for i in range(len(az[0,:])/2):\n", " for j in range(256):\n", " newaz[j,i] = az[j,i] + az[j,-(i+1)] #combine positive and negative spatial values for each temporal frequency. \n", "newaz[:,:] = newaz[:,::-1] # flip over spatial frequency axis." ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's plot the data. We should also label our axes, which is not a trivial task. In order to do so, we need to compute the full range of spatial and temporal frequencies given in our power spectrum, and then scale the axis labels accordingly in frequency and wavenumber units. We do this below:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "Nt = 512 #steps in temporal direction\n", "Nx = 1024 # steps in spatial x direction\n", "Ny = 1024 # steps in spatial y direction\n", "deltat = 45 #s\n", "deltax = 1.41 #Mm/pixel. Mm: megameter = 1 million meters. \n", "deltay= 1.41 #Mm/pixel\n", "dt = round(float(1. / (Nt*deltat)),6) # step size in temporal direction, rounded to the nearest hundredth\n", "dnux = round(float(2*np.pi / (Nx*deltax)),6) #step size in spatial direction. multiply by 2pi factor due to \n", " # wavenumber definition: k=2pi/lambda, lambda=Nx*deltax. round to make plot labels legible.\n", "dnuy = round(float(2*np.pi / (Ny*deltay)),6)\n", "\n", "print round(dt,6), dnux, dnuy\n", "dnu = np.sqrt(dnux**2+dnuy**2) #adding x and y in quadrature\n", "dnu = round(dnu,4)\n", "print dnu" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "4.3e-05 0.004352 0.004352\n", "0.0062\n" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use these definitions when defining our plot axis labels. Now, let's make one final plot to understand our power spectrum. Note that we're still plot in logarithmic space and using the absolute value of the " ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.imshow(np.log(abs(newaz[5:150,5:200])), cmap='cubehelix', interpolation='none') # trim shortest and longest frequencies, \n", " # and don't interpolate pixels for easier viewing.\n", "plt.ylabel('Frequency (mHz)')\n", "ylocs = [0,25,55,85,115] # locations of axis labels, in pixels\n", "dt = dt *1000 #milliHertz (mHz) instead of Hertz. 1 Hertz = 1 oscillation per second.\n", "yvals = [0,30*dt,60*dt,90*dt,120*dt] # values of axis labels\n", "plt.yticks(ylocs,yvals) #places axis labels equal to yvals at ylocs pixel locations in plot.\n", "plt.xlabel('Wavenumber (Mm^-1)')\n", "xlocs = [0,45,95,145,195]\n", "xvals = [0,50*dnu, 100*dnu, 150*dnu, 200*dnu]\n", "plt.xticks(xlocs,xvals)\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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EJ2zipJTpu+qH7l8abM0+7pGmbZbCTNzfi+meufOWtm74IC/BNtiR9m9p9KCZyAVGMIGZ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"text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "And now we have our readable power spectrum! \n", "- The strongest values are seen at low frequency and low wavenumber. This is an artifact of having finite data, and we can ignore it. \n", "- The pinkish patch around 3mHz at low wavenumbers corresponds to the fundamental frequency of solar oscillations. This corresponds to the high frequency sine curve component we illustrated for a given pixel earlier, but since it is present in each pixel, it gives us little spatial information. These waves can be thought of as similar to waves on the surface of the ocean. \n", "- The ridges to the right of this, however, correspond to the pressure modes of oscillation, giving us more information about the internal structure of the object. Isolating these oscillations allows us to probe underneath the surface of whatever we're looking at. These ridges can be made clearer with higher resolution in either time or space.\n", "\n", "We can also display the power spectrum for a given wavenumber to look at the strength of oscillations of a given spatial size as a function of frequency. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(np.log(abs(az[:,0])))\n", "plt.plot(np.log(abs(az[:,10])))\n", "plt.plot(np.log(abs(az[:,100]))) # these correspond to different wavenumbers: waves of different spatial sizes.\n", "plt.legend(('az0','az10', 'az100'))\n", "plt.show()\n", "print \"Max value and location:\",np.max(az), \"at\", np.unravel_index(np.argmax(az), np.shape(az))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "Max value and location: (2.02330574944e+22+0j) at (0, 512)\n" ] } ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This frequency analysis can then be used to tell us a great deal about the internal structure and dynamics of stars. At all wavenumbers, the 3mHz peak is visible. At smaller wavenumbers, however, there appears to be some possibly significant lumpiness (aka structure) within the 3 mHz peak. This data has relatively low time resolution, however, so it makes detecting variation other than the 3 mHz peak very difficult. This can be seen more clearly in a comparable lesson that I've done with other data, also available on my GitHub.\n", "\n", "The strongest frequency and spacing between frequencies is directly dependent on the density of the oscillating material. We use this to infer the stage of stellar evolution of the star, and can use this information for more precise constraints on stellar density, age, and therefore temperature, size, and mass.\n", "\n", "This type of cross-correlation frequency analysis can be applied to any data where one wants to use surface wave oscillations to learn more about what lies underneath. For example, analysis of standing waves on a water surface can tell you more about the depth and shape of the underlying body of water. Power spectra are used in cases as mundane as regulating energy to the electrical grid to cases as esoteric as calculating the shape of the Universe. Hope this lesson was helpful!" ] } ], "metadata": {} } ] }